6(x+2)-15=3-2(x-1)

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Solution for 6(x+2)-15=3-2(x-1) equation:


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

Reorder the terms:
6(2 + x) + -15 = 3 + -2(x + -1)
(2 * 6 + x * 6) + -15 = 3 + -2(x + -1)
(12 + 6x) + -15 = 3 + -2(x + -1)

Reorder the terms:
12 + -15 + 6x = 3 + -2(x + -1)

Combine like terms: 12 + -15 = -3
-3 + 6x = 3 + -2(x + -1)

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

Combine like terms: 3 + 2 = 5
-3 + 6x = 5 + -2x

Solving
-3 + 6x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 6x + 2x = 5 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-3 + 8x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x = 5 + 0
-3 + 8x = 5

Add '3' to each side of the equation.
-3 + 3 + 8x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 5 + 3
8x = 5 + 3

Combine like terms: 5 + 3 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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