8(x+4)+3(x+4)=7x-7

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Solution for 8(x+4)+3(x+4)=7x-7 equation: 


Simplifying
8(x + 4) + 3(x + 4) = 7x + -7

Reorder the terms:
8(4 + x) + 3(x + 4) = 7x + -7
(4 * 8 + x * 8) + 3(x + 4) = 7x + -7
(32 + 8x) + 3(x + 4) = 7x + -7

Reorder the terms:
32 + 8x + 3(4 + x) = 7x + -7
32 + 8x + (4 * 3 + x * 3) = 7x + -7
32 + 8x + (12 + 3x) = 7x + -7

Reorder the terms:
32 + 12 + 8x + 3x = 7x + -7

Combine like terms: 32 + 12 = 44
44 + 8x + 3x = 7x + -7

Combine like terms: 8x + 3x = 11x
44 + 11x = 7x + -7

Reorder the terms:
44 + 11x = -7 + 7x

Solving
44 + 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.
44 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
44 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + 4x = -7 + 0
44 + 4x = -7

Add '-44' to each side of the equation.
44 + -44 + 4x = -7 + -44

Combine like terms: 44 + -44 = 0
0 + 4x = -7 + -44
4x = -7 + -44

Combine like terms: -7 + -44 = -51
4x = -51

Divide each side by '4'.
x = -12.75

Simplifying
x = -12.75

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