13-(x-5)=4x-2

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Solution for 13-(x-5)=4x-2 equation:


Simplifying
13 + -1(x + -5) = 4x + -2

Reorder the terms:
13 + -1(-5 + x) = 4x + -2
13 + (-5 * -1 + x * -1) = 4x + -2
13 + (5 + -1x) = 4x + -2

Combine like terms: 13 + 5 = 18
18 + -1x = 4x + -2

Reorder the terms:
18 + -1x = -2 + 4x

Solving
18 + -1x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
18 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -5x = -2 + 0
18 + -5x = -2

Add '-18' to each side of the equation.
18 + -18 + -5x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -2 + -18
-5x = -2 + -18

Combine like terms: -2 + -18 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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