3(-2x+5)-8=3x-(2x+7)

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Solution for 3(-2x+5)-8=3x-(2x+7) equation:


Simplifying
3(-2x + 5) + -8 = 3x + -1(2x + 7)

Reorder the terms:
3(5 + -2x) + -8 = 3x + -1(2x + 7)
(5 * 3 + -2x * 3) + -8 = 3x + -1(2x + 7)
(15 + -6x) + -8 = 3x + -1(2x + 7)

Reorder the terms:
15 + -8 + -6x = 3x + -1(2x + 7)

Combine like terms: 15 + -8 = 7
7 + -6x = 3x + -1(2x + 7)

Reorder the terms:
7 + -6x = 3x + -1(7 + 2x)
7 + -6x = 3x + (7 * -1 + 2x * -1)
7 + -6x = 3x + (-7 + -2x)

Reorder the terms:
7 + -6x = -7 + 3x + -2x

Combine like terms: 3x + -2x = 1x
7 + -6x = -7 + 1x

Solving
7 + -6x = -7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + -6x + -1x = -7 + 1x + -1x

Combine like terms: -6x + -1x = -7x
7 + -7x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
7 + -7x = -7 + 0
7 + -7x = -7

Add '-7' to each side of the equation.
7 + -7 + -7x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = -7 + -7
-7x = -7 + -7

Combine like terms: -7 + -7 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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