2x-15=4(2x+2)-5

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Solution for 2x-15=4(2x+2)-5 equation:


Simplifying
2x + -15 = 4(2x + 2) + -5

Reorder the terms:
-15 + 2x = 4(2x + 2) + -5

Reorder the terms:
-15 + 2x = 4(2 + 2x) + -5
-15 + 2x = (2 * 4 + 2x * 4) + -5
-15 + 2x = (8 + 8x) + -5

Reorder the terms:
-15 + 2x = 8 + -5 + 8x

Combine like terms: 8 + -5 = 3
-15 + 2x = 3 + 8x

Solving
-15 + 2x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 2x + -8x = 3 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-15 + -6x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -6x = 3 + 0
-15 + -6x = 3

Add '15' to each side of the equation.
-15 + 15 + -6x = 3 + 15

Combine like terms: -15 + 15 = 0
0 + -6x = 3 + 15
-6x = 3 + 15

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

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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