15-(2x-1)=8-(2-3x)

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Solution for 15-(2x-1)=8-(2-3x) equation: 


Simplifying
15 + -1(2x + -1) = 8 + -1(2 + -3x)

Reorder the terms:
15 + -1(-1 + 2x) = 8 + -1(2 + -3x)
15 + (-1 * -1 + 2x * -1) = 8 + -1(2 + -3x)
15 + (1 + -2x) = 8 + -1(2 + -3x)

Combine like terms: 15 + 1 = 16
16 + -2x = 8 + -1(2 + -3x)
16 + -2x = 8 + (2 * -1 + -3x * -1)
16 + -2x = 8 + (-2 + 3x)

Combine like terms: 8 + -2 = 6
16 + -2x = 6 + 3x

Solving
16 + -2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = 6 + 0
16 + -5x = 6

Add '-16' to each side of the equation.
16 + -16 + -5x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 6 + -16
-5x = 6 + -16

Combine like terms: 6 + -16 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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