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

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


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

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

Reorder the terms:
6 + 3x + -4(-5 + x) = 2(x + -3) + -4x + 7
6 + 3x + (-5 * -4 + x * -4) = 2(x + -3) + -4x + 7
6 + 3x + (20 + -4x) = 2(x + -3) + -4x + 7

Reorder the terms:
6 + 20 + 3x + -4x = 2(x + -3) + -4x + 7

Combine like terms: 6 + 20 = 26
26 + 3x + -4x = 2(x + -3) + -4x + 7

Combine like terms: 3x + -4x = -1x
26 + -1x = 2(x + -3) + -4x + 7

Reorder the terms:
26 + -1x = 2(-3 + x) + -4x + 7
26 + -1x = (-3 * 2 + x * 2) + -4x + 7
26 + -1x = (-6 + 2x) + -4x + 7

Reorder the terms:
26 + -1x = -6 + 7 + 2x + -4x

Combine like terms: -6 + 7 = 1
26 + -1x = 1 + 2x + -4x

Combine like terms: 2x + -4x = -2x
26 + -1x = 1 + -2x

Solving
26 + -1x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
26 + -1x + 2x = 1 + -2x + 2x

Combine like terms: -1x + 2x = 1x
26 + 1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
26 + 1x = 1 + 0
26 + 1x = 1

Add '-26' to each side of the equation.
26 + -26 + 1x = 1 + -26

Combine like terms: 26 + -26 = 0
0 + 1x = 1 + -26
1x = 1 + -26

Combine like terms: 1 + -26 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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