4x-15(x-1)=2(6-3x)

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Solution for 4x-15(x-1)=2(6-3x) equation:


Simplifying
4x + -15(x + -1) = 2(6 + -3x)

Reorder the terms:
4x + -15(-1 + x) = 2(6 + -3x)
4x + (-1 * -15 + x * -15) = 2(6 + -3x)
4x + (15 + -15x) = 2(6 + -3x)

Reorder the terms:
15 + 4x + -15x = 2(6 + -3x)

Combine like terms: 4x + -15x = -11x
15 + -11x = 2(6 + -3x)
15 + -11x = (6 * 2 + -3x * 2)
15 + -11x = (12 + -6x)

Solving
15 + -11x = 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.
15 + -11x + 6x = 12 + -6x + 6x

Combine like terms: -11x + 6x = -5x
15 + -5x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + -5x = 12 + 0
15 + -5x = 12

Add '-15' to each side of the equation.
15 + -15 + -5x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 12 + -15
-5x = 12 + -15

Combine like terms: 12 + -15 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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