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

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


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

Reorder the terms:
-3(-2 + x) + 4(x + -5) = -7
(-2 * -3 + x * -3) + 4(x + -5) = -7
(6 + -3x) + 4(x + -5) = -7

Reorder the terms:
6 + -3x + 4(-5 + x) = -7
6 + -3x + (-5 * 4 + x * 4) = -7
6 + -3x + (-20 + 4x) = -7

Reorder the terms:
6 + -20 + -3x + 4x = -7

Combine like terms: 6 + -20 = -14
-14 + -3x + 4x = -7

Combine like terms: -3x + 4x = 1x
-14 + 1x = -7

Solving
-14 + 1x = -7

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 1x = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -7 + 14
1x = -7 + 14

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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