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

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


Simplifying
5(3 + -1x) + -2(4 + -3x) = 1 + -2(x + -1)
(3 * 5 + -1x * 5) + -2(4 + -3x) = 1 + -2(x + -1)
(15 + -5x) + -2(4 + -3x) = 1 + -2(x + -1)
15 + -5x + (4 * -2 + -3x * -2) = 1 + -2(x + -1)
15 + -5x + (-8 + 6x) = 1 + -2(x + -1)

Reorder the terms:
15 + -8 + -5x + 6x = 1 + -2(x + -1)

Combine like terms: 15 + -8 = 7
7 + -5x + 6x = 1 + -2(x + -1)

Combine like terms: -5x + 6x = 1x
7 + 1x = 1 + -2(x + -1)

Reorder the terms:
7 + 1x = 1 + -2(-1 + x)
7 + 1x = 1 + (-1 * -2 + x * -2)
7 + 1x = 1 + (2 + -2x)

Combine like terms: 1 + 2 = 3
7 + 1x = 3 + -2x

Solving
7 + 1x = 3 + -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.
7 + 1x + 2x = 3 + -2x + 2x

Combine like terms: 1x + 2x = 3x
7 + 3x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 3x = 3 + 0
7 + 3x = 3

Add '-7' to each side of the equation.
7 + -7 + 3x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 3 + -7
3x = 3 + -7

Combine like terms: 3 + -7 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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