7(x+1)-2(6+5x)=7

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Solution for 7(x+1)-2(6+5x)=7 equation: 


Simplifying
7(x + 1) + -2(6 + 5x) = 7

Reorder the terms:
7(1 + x) + -2(6 + 5x) = 7
(1 * 7 + x * 7) + -2(6 + 5x) = 7
(7 + 7x) + -2(6 + 5x) = 7
7 + 7x + (6 * -2 + 5x * -2) = 7
7 + 7x + (-12 + -10x) = 7

Reorder the terms:
7 + -12 + 7x + -10x = 7

Combine like terms: 7 + -12 = -5
-5 + 7x + -10x = 7

Combine like terms: 7x + -10x = -3x
-5 + -3x = 7

Solving
-5 + -3x = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 7 + 5
-3x = 7 + 5

Combine like terms: 7 + 5 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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