find the value of x 7 - 3x = 5 + 4x + 11-16x.
Answers
Answer:
Simplifying
7 + -3x = 5 + 4x + 11 + -16x
Reorder the terms:
7 + -3x = 5 + 11 + 4x + -16x
Combine like terms: 5 + 11 = 16
7 + -3x = 16 + 4x + -16x
Combine like terms: 4x + -16x = -12x
7 + -3x = 16 + -12x
Solving
7 + -3x = 16 + -12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12x' to each side of the equation.
7 + -3x + 12x = 16 + -12x + 12x
Combine like terms: -3x + 12x = 9x
7 + 9x = 16 + -12x + 12x
Combine like terms: -12x + 12x = 0
7 + 9x = 16 + 0
7 + 9x = 16
Add '-7' to each side of the equation.
7 + -7 + 9x = 16 + -7
Combine like terms: 7 + -7 = 0
0 + 9x = 16 + -7
9x = 16 + -7
Combine like terms: 16 + -7 = 9
9x = 9
Divide each side by '9'.
x = 1
Simplifying
x = 1
Step-by-step explanation:
Simplifying
7 + -3x = 5 + 4x + 11 + -16x
Reorder the terms:
7 + -3x = 5 + 11 + 4x + -16x
Combine like terms: 5 + 11 = 16
7 + -3x = 16 + 4x + -16x
Combine like terms: 4x + -16x = -12x
7 + -3x = 16 + -12x
Solving
7 + -3x = 16 + -12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12x' to each side of the equation.
7 + -3x + 12x = 16 + -12x + 12x
Combine like terms: -3x + 12x = 9x
7 + 9x = 16 + -12x + 12x
Combine like terms: -12x + 12x = 0
7 + 9x = 16 + 0
7 + 9x = 16
Add '-7' to each side of the equation.
7 + -7 + 9x = 16 + -7
Combine like terms: 7 + -7 = 0
0 + 9x = 16 + -7
9x = 16 + -7
Combine like terms: 16 + -7 = 9
9x = 9
Divide each side by '9'.
x = 1
Simplifying
x = 1