6(3.2x+7.5-4x)-48+2(5x-9+-3x)=-688.92

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Solution for 6(3.2x+7.5-4x)-48+2(5x-9+-3x)=-688.92 equation:


Simplifying
6(3.2x + 7.5 + -4x) + -48 + 2(5x + -9 + -3x) = -688.92

Reorder the terms:
6(7.5 + 3.2x + -4x) + -48 + 2(5x + -9 + -3x) = -688.92

Combine like terms: 3.2x + -4x = -0.8x
6(7.5 + -0.8x) + -48 + 2(5x + -9 + -3x) = -688.92
(7.5 * 6 + -0.8x * 6) + -48 + 2(5x + -9 + -3x) = -688.92
(45 + -4.8x) + -48 + 2(5x + -9 + -3x) = -688.92

Reorder the terms:
45 + -4.8x + -48 + 2(-9 + 5x + -3x) = -688.92

Combine like terms: 5x + -3x = 2x
45 + -4.8x + -48 + 2(-9 + 2x) = -688.92
45 + -4.8x + -48 + (-9 * 2 + 2x * 2) = -688.92
45 + -4.8x + -48 + (-18 + 4x) = -688.92

Reorder the terms:
45 + -48 + -18 + -4.8x + 4x = -688.92

Combine like terms: 45 + -48 = -3
-3 + -18 + -4.8x + 4x = -688.92

Combine like terms: -3 + -18 = -21
-21 + -4.8x + 4x = -688.92

Combine like terms: -4.8x + 4x = -0.8x
-21 + -0.8x = -688.92

Solving
-21 + -0.8x = -688.92

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + -0.8x = -688.92 + 21

Combine like terms: -21 + 21 = 0
0 + -0.8x = -688.92 + 21
-0.8x = -688.92 + 21

Combine like terms: -688.92 + 21 = -667.92
-0.8x = -667.92

Divide each side by '-0.8'.
x = 834.9

Simplifying
x = 834.9

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