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

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


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

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

Combine like terms: 13 + 5 = 18
18 + -2x = 2(2x + -3)

Reorder the terms:
18 + -2x = 2(-3 + 2x)
18 + -2x = (-3 * 2 + 2x * 2)
18 + -2x = (-6 + 4x)

Solving
18 + -2x = -6 + 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 + -2x + -4x = -6 + 4x + -4x

Combine like terms: -2x + -4x = -6x
18 + -6x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -6x = -6 + 0
18 + -6x = -6

Add '-18' to each side of the equation.
18 + -18 + -6x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -6 + -18
-6x = -6 + -18

Combine like terms: -6 + -18 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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