8(x+1)+3(x+1)=7x-7

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Solution for 8(x+1)+3(x+1)=7x-7 equation: 


Simplifying
8(x + 1) + 3(x + 1) = 7x + -7

Reorder the terms:
8(1 + x) + 3(x + 1) = 7x + -7
(1 * 8 + x * 8) + 3(x + 1) = 7x + -7
(8 + 8x) + 3(x + 1) = 7x + -7

Reorder the terms:
8 + 8x + 3(1 + x) = 7x + -7
8 + 8x + (1 * 3 + x * 3) = 7x + -7
8 + 8x + (3 + 3x) = 7x + -7

Reorder the terms:
8 + 3 + 8x + 3x = 7x + -7

Combine like terms: 8 + 3 = 11
11 + 8x + 3x = 7x + -7

Combine like terms: 8x + 3x = 11x
11 + 11x = 7x + -7

Reorder the terms:
11 + 11x = -7 + 7x

Solving
11 + 11x = -7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
11 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
11 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + 4x = -7 + 0
11 + 4x = -7

Add '-11' to each side of the equation.
11 + -11 + 4x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = -7 + -11
4x = -7 + -11

Combine like terms: -7 + -11 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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