3(4x-2)-6(x-5)-26=4(3-x)-2(x+1)

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Solution for 3(4x-2)-6(x-5)-26=4(3-x)-2(x+1) equation: 


Simplifying
3(4x + -2) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1)

Reorder the terms:
3(-2 + 4x) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1)
(-2 * 3 + 4x * 3) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1)
(-6 + 12x) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1)

Reorder the terms:
-6 + 12x + -6(-5 + x) + -26 = 4(3 + -1x) + -2(x + 1)
-6 + 12x + (-5 * -6 + x * -6) + -26 = 4(3 + -1x) + -2(x + 1)
-6 + 12x + (30 + -6x) + -26 = 4(3 + -1x) + -2(x + 1)

Reorder the terms:
-6 + 30 + -26 + 12x + -6x = 4(3 + -1x) + -2(x + 1)

Combine like terms: -6 + 30 = 24
24 + -26 + 12x + -6x = 4(3 + -1x) + -2(x + 1)

Combine like terms: 24 + -26 = -2
-2 + 12x + -6x = 4(3 + -1x) + -2(x + 1)

Combine like terms: 12x + -6x = 6x
-2 + 6x = 4(3 + -1x) + -2(x + 1)
-2 + 6x = (3 * 4 + -1x * 4) + -2(x + 1)
-2 + 6x = (12 + -4x) + -2(x + 1)

Reorder the terms:
-2 + 6x = 12 + -4x + -2(1 + x)
-2 + 6x = 12 + -4x + (1 * -2 + x * -2)
-2 + 6x = 12 + -4x + (-2 + -2x)

Reorder the terms:
-2 + 6x = 12 + -2 + -4x + -2x

Combine like terms: 12 + -2 = 10
-2 + 6x = 10 + -4x + -2x

Combine like terms: -4x + -2x = -6x
-2 + 6x = 10 + -6x

Solving
-2 + 6x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2 + 6x + 6x = 10 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-2 + 12x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 12x = 10 + 0
-2 + 12x = 10

Add '2' to each side of the equation.
-2 + 2 + 12x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 10 + 2
12x = 10 + 2

Combine like terms: 10 + 2 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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