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

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


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

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

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

Reorder the terms:
1 + 5x = -12 + 4x + 2x

Combine like terms: 4x + 2x = 6x
1 + 5x = -12 + 6x

Solving
1 + 5x = -12 + 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.
1 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
1 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -1x = -12 + 0
1 + -1x = -12

Add '-1' to each side of the equation.
1 + -1 + -1x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -12 + -1
-1x = -12 + -1

Combine like terms: -12 + -1 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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