2x+4(2x+7)=3(2x+4) solve this question
Answers
Answer:
Simplifying
2x + 4(2x + 7) = 3(2x + 4)
Reorder the terms:
2x + 4(7 + 2x) = 3(2x + 4)
2x + (7 * 4 + 2x * 4) = 3(2x + 4)
2x + (28 + 8x) = 3(2x + 4)
Reorder the terms:
28 + 2x + 8x = 3(2x + 4)
Combine like terms: 2x + 8x = 10x
28 + 10x = 3(2x + 4)
Reorder the terms:
28 + 10x = 3(4 + 2x)
28 + 10x = (4 * 3 + 2x * 3)
28 + 10x = (12 + 6x)
Solving
28 + 10x = 12 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
28 + 10x + -6x = 12 + 6x + -6x
Combine like terms: 10x + -6x = 4x
28 + 4x = 12 + 6x + -6x
Combine like terms: 6x + -6x = 0
28 + 4x = 12 + 0
28 + 4x = 12
Add '-28' to each side of the equation.
28 + -28 + 4x = 12 + -28
Combine like terms: 28 + -28 = 0
0 + 4x = 12 + -28
4x = 12 + -28
Combine like terms: 12 + -28 = -16
4x = -16
Divide each side by '4'.
x = -4
Simplifying
x = -4
Answer:
Simplifying
2x + 4(2x + 7) = 3(2x + 4)
Reorder the terms:
2x + 4(7 + 2x) = 3(2x + 4)
2x + (7 * 4 + 2x * 4) = 3(2x + 4)
2x + (28 + 8x) = 3(2x + 4)
Reorder the terms:
28 + 2x + 8x = 3(2x + 4)
Combine like terms: 2x + 8x = 10x
28 + 10x = 3(2x + 4)
Reorder the terms:
28 + 10x = 3(4 + 2x)
28 + 10x = (4 * 3 + 2x * 3)
28 + 10x = (12 + 6x)
Solving
28 + 10x = 12 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
28 + 10x + -6x = 12 + 6x + -6x
Combine like terms: 10x + -6x = 4x
28 + 4x = 12 + 6x + -6x
Combine like terms: 6x + -6x = 0
28 + 4x = 12 + 0
28 + 4x = 12
Add '-28' to each side of the equation.
28 + -28 + 4x = 12 + -28
Combine like terms: 28 + -28 = 0
0 + 4x = 12 + -28
4x = 12 + -28
Combine like terms: 12 + -28 = -16
4x = -16
Divide each side by '4'.
x = -4
Simplifying
x = -4