x-3(x-1)=15+4(2-x)

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Solution for x-3(x-1)=15+4(2-x) equation:


Simplifying
x + -3(x + -1) = 15 + 4(2 + -1x)

Reorder the terms:
x + -3(-1 + x) = 15 + 4(2 + -1x)
x + (-1 * -3 + x * -3) = 15 + 4(2 + -1x)
x + (3 + -3x) = 15 + 4(2 + -1x)

Reorder the terms:
3 + x + -3x = 15 + 4(2 + -1x)

Combine like terms: x + -3x = -2x
3 + -2x = 15 + 4(2 + -1x)
3 + -2x = 15 + (2 * 4 + -1x * 4)
3 + -2x = 15 + (8 + -4x)

Combine like terms: 15 + 8 = 23
3 + -2x = 23 + -4x

Solving
3 + -2x = 23 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + -2x + 4x = 23 + -4x + 4x

Combine like terms: -2x + 4x = 2x
3 + 2x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 2x = 23 + 0
3 + 2x = 23

Add '-3' to each side of the equation.
3 + -3 + 2x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 23 + -3
2x = 23 + -3

Combine like terms: 23 + -3 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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