.75(8x-4)-2(5x-6)=-5x-10

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Solution for .75(8x-4)-2(5x-6)=-5x-10 equation:


Simplifying
0.75(8x + -4) + -2(5x + -6) = -5x + -10

Reorder the terms:
0.75(-4 + 8x) + -2(5x + -6) = -5x + -10
(-4 * 0.75 + 8x * 0.75) + -2(5x + -6) = -5x + -10
(-3 + 6x) + -2(5x + -6) = -5x + -10

Reorder the terms:
-3 + 6x + -2(-6 + 5x) = -5x + -10
-3 + 6x + (-6 * -2 + 5x * -2) = -5x + -10
-3 + 6x + (12 + -10x) = -5x + -10

Reorder the terms:
-3 + 12 + 6x + -10x = -5x + -10

Combine like terms: -3 + 12 = 9
9 + 6x + -10x = -5x + -10

Combine like terms: 6x + -10x = -4x
9 + -4x = -5x + -10

Reorder the terms:
9 + -4x = -10 + -5x

Solving
9 + -4x = -10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + -4x + 5x = -10 + -5x + 5x

Combine like terms: -4x + 5x = 1x
9 + 1x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 1x = -10 + 0
9 + 1x = -10

Add '-9' to each side of the equation.
9 + -9 + 1x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -10 + -9
1x = -10 + -9

Combine like terms: -10 + -9 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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