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

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


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

Reorder the terms:
2x + -3(-5 + x) = 3(3 + -4x) + -2(1 + -1x)
2x + (-5 * -3 + x * -3) = 3(3 + -4x) + -2(1 + -1x)
2x + (15 + -3x) = 3(3 + -4x) + -2(1 + -1x)

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

Combine like terms: 2x + -3x = -1x
15 + -1x = 3(3 + -4x) + -2(1 + -1x)
15 + -1x = (3 * 3 + -4x * 3) + -2(1 + -1x)
15 + -1x = (9 + -12x) + -2(1 + -1x)
15 + -1x = 9 + -12x + (1 * -2 + -1x * -2)
15 + -1x = 9 + -12x + (-2 + 2x)

Reorder the terms:
15 + -1x = 9 + -2 + -12x + 2x

Combine like terms: 9 + -2 = 7
15 + -1x = 7 + -12x + 2x

Combine like terms: -12x + 2x = -10x
15 + -1x = 7 + -10x

Solving
15 + -1x = 7 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
15 + -1x + 10x = 7 + -10x + 10x

Combine like terms: -1x + 10x = 9x
15 + 9x = 7 + -10x + 10x

Combine like terms: -10x + 10x = 0
15 + 9x = 7 + 0
15 + 9x = 7

Add '-15' to each side of the equation.
15 + -15 + 9x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 7 + -15
9x = 7 + -15

Combine like terms: 7 + -15 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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