solve the equation 8 x + 3 (X + 4) = 10 x- 7
Answers
Step-by-step explanation:
Simplifying
8x + 3(x + 4) = 10x + -7
Reorder the terms:
8x + 3(4 + x) = 10x + -7
8x + (4 * 3 + x * 3) = 10x + -7
8x + (12 + 3x) = 10x + -7
Reorder the terms:
12 + 8x + 3x = 10x + -7
Combine like terms: 8x + 3x = 11x
12 + 11x = 10x + -7
Reorder the terms:
12 + 11x = -7 + 10x
Solving
12 + 11x = -7 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
12 + 11x + -10x = -7 + 10x + -10x
Combine like terms: 11x + -10x = 1x
12 + 1x = -7 + 10x + -10x
Combine like terms: 10x + -10x = 0
12 + 1x = -7 + 0
12 + 1x = -7
Add '-12' to each side of the equation.
12 + -12 + 1x = -7 + -12
Combine like terms: 12 + -12 = 0
0 + 1x = -7 + -12
1x = -7 + -12
Combine like terms: -7 + -12 = -19
1x = -19
Divide each side by '1'.
x = -19
Simplifying
x = -19
Step-by-step explanation:
(8x+3=11)×(x+4)=12)=10x-7)=3