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

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


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

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

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

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

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

Combine like terms: 6x + -1x = 5x
15 + 5x = 3(-1x + 1)

Reorder the terms:
15 + 5x = 3(1 + -1x)
15 + 5x = (1 * 3 + -1x * 3)
15 + 5x = (3 + -3x)

Solving
15 + 5x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
15 + 5x + 3x = 3 + -3x + 3x

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

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

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

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

Combine like terms: 3 + -15 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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