5(x-3)-3=-2(-8x+6)-3x

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Solution for 5(x-3)-3=-2(-8x+6)-3x equation:


Simplifying
5(x + -3) + -3 = -2(-8x + 6) + -3x

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

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

Combine like terms: -15 + -3 = -18
-18 + 5x = -2(-8x + 6) + -3x

Reorder the terms:
-18 + 5x = -2(6 + -8x) + -3x
-18 + 5x = (6 * -2 + -8x * -2) + -3x
-18 + 5x = (-12 + 16x) + -3x

Combine like terms: 16x + -3x = 13x
-18 + 5x = -12 + 13x

Solving
-18 + 5x = -12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-18 + 5x + -13x = -12 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-18 + -8x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
-18 + -8x = -12 + 0
-18 + -8x = -12

Add '18' to each side of the equation.
-18 + 18 + -8x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + -8x = -12 + 18
-8x = -12 + 18

Combine like terms: -12 + 18 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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