5(x+6)-2(x-3)=7x-8

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Solution for 5(x+6)-2(x-3)=7x-8 equation: 


Simplifying
5(x + 6) + -2(x + -3) = 7x + -8

Reorder the terms:
5(6 + x) + -2(x + -3) = 7x + -8
(6 * 5 + x * 5) + -2(x + -3) = 7x + -8
(30 + 5x) + -2(x + -3) = 7x + -8

Reorder the terms:
30 + 5x + -2(-3 + x) = 7x + -8
30 + 5x + (-3 * -2 + x * -2) = 7x + -8
30 + 5x + (6 + -2x) = 7x + -8

Reorder the terms:
30 + 6 + 5x + -2x = 7x + -8

Combine like terms: 30 + 6 = 36
36 + 5x + -2x = 7x + -8

Combine like terms: 5x + -2x = 3x
36 + 3x = 7x + -8

Reorder the terms:
36 + 3x = -8 + 7x

Solving
36 + 3x = -8 + 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.
36 + 3x + -7x = -8 + 7x + -7x

Combine like terms: 3x + -7x = -4x
36 + -4x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -4x = -8 + 0
36 + -4x = -8

Add '-36' to each side of the equation.
36 + -36 + -4x = -8 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = -8 + -36
-4x = -8 + -36

Combine like terms: -8 + -36 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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