4x-3(x-1)=2(x-5)

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


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

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

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

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

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

Solving
3 + 1x = -10 + 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.
3 + 1x + -2x = -10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
3 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = -10 + 0
3 + -1x = -10

Add '-3' to each side of the equation.
3 + -3 + -1x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -10 + -3
-1x = -10 + -3

Combine like terms: -10 + -3 = -13
-1x = -13

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

Simplifying
x = 13

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