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

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


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

Reorder the terms:
2(-5 + x) + -3(x + 6) = -7x + 8
(-5 * 2 + x * 2) + -3(x + 6) = -7x + 8
(-10 + 2x) + -3(x + 6) = -7x + 8

Reorder the terms:
-10 + 2x + -3(6 + x) = -7x + 8
-10 + 2x + (6 * -3 + x * -3) = -7x + 8
-10 + 2x + (-18 + -3x) = -7x + 8

Reorder the terms:
-10 + -18 + 2x + -3x = -7x + 8

Combine like terms: -10 + -18 = -28
-28 + 2x + -3x = -7x + 8

Combine like terms: 2x + -3x = -1x
-28 + -1x = -7x + 8

Reorder the terms:
-28 + -1x = 8 + -7x

Solving
-28 + -1x = 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.
-28 + -1x + 7x = 8 + -7x + 7x

Combine like terms: -1x + 7x = 6x
-28 + 6x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-28 + 6x = 8 + 0
-28 + 6x = 8

Add '28' to each side of the equation.
-28 + 28 + 6x = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = 8 + 28
6x = 8 + 28

Combine like terms: 8 + 28 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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