2(x-4)-3(x-5)=-7

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Solution for 2(x-4)-3(x-5)=-7 equation: 


Simplifying
2(x + -4) + -3(x + -5) = -7

Reorder the terms:
2(-4 + x) + -3(x + -5) = -7
(-4 * 2 + x * 2) + -3(x + -5) = -7
(-8 + 2x) + -3(x + -5) = -7

Reorder the terms:
-8 + 2x + -3(-5 + x) = -7
-8 + 2x + (-5 * -3 + x * -3) = -7
-8 + 2x + (15 + -3x) = -7

Reorder the terms:
-8 + 15 + 2x + -3x = -7

Combine like terms: -8 + 15 = 7
7 + 2x + -3x = -7

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

Solving
7 + -1x = -7

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -7 + -7
-1x = -7 + -7

Combine like terms: -7 + -7 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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