7(5x+8)+(x-4)=12

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Solution for 7(5x+8)+(x-4)=12 equation:


Simplifying
7(5x + 8) + (x + -4) = 12

Reorder the terms:
7(8 + 5x) + (x + -4) = 12
(8 * 7 + 5x * 7) + (x + -4) = 12
(56 + 35x) + (x + -4) = 12

Reorder the terms:
56 + 35x + (-4 + x) = 12

Remove parenthesis around (-4 + x)
56 + 35x + -4 + x = 12

Reorder the terms:
56 + -4 + 35x + x = 12

Combine like terms: 56 + -4 = 52
52 + 35x + x = 12

Combine like terms: 35x + x = 36x
52 + 36x = 12

Solving
52 + 36x = 12

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 36x = 12 + -52

Combine like terms: 52 + -52 = 0
0 + 36x = 12 + -52
36x = 12 + -52

Combine like terms: 12 + -52 = -40
36x = -40

Divide each side by '36'.
x = -1.111111111

Simplifying
x = -1.111111111

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