-2(2x-4)=15-3(2x-1)

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Solution for -2(2x-4)=15-3(2x-1) equation:


Simplifying
-2(2x + -4) = 15 + -3(2x + -1)

Reorder the terms:
-2(-4 + 2x) = 15 + -3(2x + -1)
(-4 * -2 + 2x * -2) = 15 + -3(2x + -1)
(8 + -4x) = 15 + -3(2x + -1)

Reorder the terms:
8 + -4x = 15 + -3(-1 + 2x)
8 + -4x = 15 + (-1 * -3 + 2x * -3)
8 + -4x = 15 + (3 + -6x)

Combine like terms: 15 + 3 = 18
8 + -4x = 18 + -6x

Solving
8 + -4x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + -4x + 6x = 18 + -6x + 6x

Combine like terms: -4x + 6x = 2x
8 + 2x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 2x = 18 + 0
8 + 2x = 18

Add '-8' to each side of the equation.
8 + -8 + 2x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 18 + -8
2x = 18 + -8

Combine like terms: 18 + -8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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