3(x-2)-(2-5x)-(2-5x)=4-6(2-3x)-7x

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Solution for 3(x-2)-(2-5x)-(2-5x)=4-6(2-3x)-7x equation: 


Simplifying
3(x + -2) + -1(2 + -5x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x

Reorder the terms:
3(-2 + x) + -1(2 + -5x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x
(-2 * 3 + x * 3) + -1(2 + -5x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x
(-6 + 3x) + -1(2 + -5x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x
-6 + 3x + (2 * -1 + -5x * -1) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x
-6 + 3x + (-2 + 5x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x
-6 + 3x + -2 + 5x + (2 * -1 + -5x * -1) = 4 + -6(2 + -3x) + -7x
-6 + 3x + -2 + 5x + (-2 + 5x) = 4 + -6(2 + -3x) + -7x

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

Combine like terms: -6 + -2 = -8
-8 + -2 + 3x + 5x + 5x = 4 + -6(2 + -3x) + -7x

Combine like terms: -8 + -2 = -10
-10 + 3x + 5x + 5x = 4 + -6(2 + -3x) + -7x

Combine like terms: 3x + 5x = 8x
-10 + 8x + 5x = 4 + -6(2 + -3x) + -7x

Combine like terms: 8x + 5x = 13x
-10 + 13x = 4 + -6(2 + -3x) + -7x
-10 + 13x = 4 + (2 * -6 + -3x * -6) + -7x
-10 + 13x = 4 + (-12 + 18x) + -7x

Combine like terms: 4 + -12 = -8
-10 + 13x = -8 + 18x + -7x

Combine like terms: 18x + -7x = 11x
-10 + 13x = -8 + 11x

Solving
-10 + 13x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-10 + 13x + -11x = -8 + 11x + -11x

Combine like terms: 13x + -11x = 2x
-10 + 2x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
-10 + 2x = -8 + 0
-10 + 2x = -8

Add '10' to each side of the equation.
-10 + 10 + 2x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -8 + 10
2x = -8 + 10

Combine like terms: -8 + 10 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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