3(x-4)-2(x+3)=-5x-2(x+1)

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Solution for 3(x-4)-2(x+3)=-5x-2(x+1) equation:


Simplifying
3(x + -4) + -2(x + 3) = -5x + -2(x + 1)

Reorder the terms:
3(-4 + x) + -2(x + 3) = -5x + -2(x + 1)
(-4 * 3 + x * 3) + -2(x + 3) = -5x + -2(x + 1)
(-12 + 3x) + -2(x + 3) = -5x + -2(x + 1)

Reorder the terms:
-12 + 3x + -2(3 + x) = -5x + -2(x + 1)
-12 + 3x + (3 * -2 + x * -2) = -5x + -2(x + 1)
-12 + 3x + (-6 + -2x) = -5x + -2(x + 1)

Reorder the terms:
-12 + -6 + 3x + -2x = -5x + -2(x + 1)

Combine like terms: -12 + -6 = -18
-18 + 3x + -2x = -5x + -2(x + 1)

Combine like terms: 3x + -2x = 1x
-18 + 1x = -5x + -2(x + 1)

Reorder the terms:
-18 + 1x = -5x + -2(1 + x)
-18 + 1x = -5x + (1 * -2 + x * -2)
-18 + 1x = -5x + (-2 + -2x)

Reorder the terms:
-18 + 1x = -2 + -5x + -2x

Combine like terms: -5x + -2x = -7x
-18 + 1x = -2 + -7x

Solving
-18 + 1x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-18 + 1x + 7x = -2 + -7x + 7x

Combine like terms: 1x + 7x = 8x
-18 + 8x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 8x = -2 + 0
-18 + 8x = -2

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

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

Combine like terms: -2 + 18 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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