-2(x-3)+5(x-4)=6(x-4)+4(5-x)-10

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Solution for -2(x-3)+5(x-4)=6(x-4)+4(5-x)-10 equation: 


Simplifying
-2(x + -3) + 5(x + -4) = 6(x + -4) + 4(5 + -1x) + -10

Reorder the terms:
-2(-3 + x) + 5(x + -4) = 6(x + -4) + 4(5 + -1x) + -10
(-3 * -2 + x * -2) + 5(x + -4) = 6(x + -4) + 4(5 + -1x) + -10
(6 + -2x) + 5(x + -4) = 6(x + -4) + 4(5 + -1x) + -10

Reorder the terms:
6 + -2x + 5(-4 + x) = 6(x + -4) + 4(5 + -1x) + -10
6 + -2x + (-4 * 5 + x * 5) = 6(x + -4) + 4(5 + -1x) + -10
6 + -2x + (-20 + 5x) = 6(x + -4) + 4(5 + -1x) + -10

Reorder the terms:
6 + -20 + -2x + 5x = 6(x + -4) + 4(5 + -1x) + -10

Combine like terms: 6 + -20 = -14
-14 + -2x + 5x = 6(x + -4) + 4(5 + -1x) + -10

Combine like terms: -2x + 5x = 3x
-14 + 3x = 6(x + -4) + 4(5 + -1x) + -10

Reorder the terms:
-14 + 3x = 6(-4 + x) + 4(5 + -1x) + -10
-14 + 3x = (-4 * 6 + x * 6) + 4(5 + -1x) + -10
-14 + 3x = (-24 + 6x) + 4(5 + -1x) + -10
-14 + 3x = -24 + 6x + (5 * 4 + -1x * 4) + -10
-14 + 3x = -24 + 6x + (20 + -4x) + -10

Reorder the terms:
-14 + 3x = -24 + 20 + -10 + 6x + -4x

Combine like terms: -24 + 20 = -4
-14 + 3x = -4 + -10 + 6x + -4x

Combine like terms: -4 + -10 = -14
-14 + 3x = -14 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-14 + 3x = -14 + 2x

Add '14' to each side of the equation.
-14 + 14 + 3x = -14 + 14 + 2x

Combine like terms: -14 + 14 = 0
0 + 3x = -14 + 14 + 2x
3x = -14 + 14 + 2x

Combine like terms: -14 + 14 = 0
3x = 0 + 2x
3x = 2x

Solving
3x = 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.
3x + -2x = 2x + -2x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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