13x-5x+5=7x-(2-3x)

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Solution for 13x-5x+5=7x-(2-3x) equation:


Simplifying
13x + -5x + 5 = 7x + -1(2 + -3x)

Reorder the terms:
5 + 13x + -5x = 7x + -1(2 + -3x)

Combine like terms: 13x + -5x = 8x
5 + 8x = 7x + -1(2 + -3x)
5 + 8x = 7x + (2 * -1 + -3x * -1)
5 + 8x = 7x + (-2 + 3x)

Reorder the terms:
5 + 8x = -2 + 7x + 3x

Combine like terms: 7x + 3x = 10x
5 + 8x = -2 + 10x

Solving
5 + 8x = -2 + 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.
5 + 8x + -10x = -2 + 10x + -10x

Combine like terms: 8x + -10x = -2x
5 + -2x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -2x = -2 + 0
5 + -2x = -2

Add '-5' to each side of the equation.
5 + -5 + -2x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -2 + -5
-2x = -2 + -5

Combine like terms: -2 + -5 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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