5(4x-3)-2(6-8x)+10(-2x+7)=-4(9-12x)

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Solution for 5(4x-3)-2(6-8x)+10(-2x+7)=-4(9-12x) equation:


Simplifying
5(4x + -3) + -2(6 + -8x) + 10(-2x + 7) = -4(9 + -12x)

Reorder the terms:
5(-3 + 4x) + -2(6 + -8x) + 10(-2x + 7) = -4(9 + -12x)
(-3 * 5 + 4x * 5) + -2(6 + -8x) + 10(-2x + 7) = -4(9 + -12x)
(-15 + 20x) + -2(6 + -8x) + 10(-2x + 7) = -4(9 + -12x)
-15 + 20x + (6 * -2 + -8x * -2) + 10(-2x + 7) = -4(9 + -12x)
-15 + 20x + (-12 + 16x) + 10(-2x + 7) = -4(9 + -12x)

Reorder the terms:
-15 + 20x + -12 + 16x + 10(7 + -2x) = -4(9 + -12x)
-15 + 20x + -12 + 16x + (7 * 10 + -2x * 10) = -4(9 + -12x)
-15 + 20x + -12 + 16x + (70 + -20x) = -4(9 + -12x)

Reorder the terms:
-15 + -12 + 70 + 20x + 16x + -20x = -4(9 + -12x)

Combine like terms: -15 + -12 = -27
-27 + 70 + 20x + 16x + -20x = -4(9 + -12x)

Combine like terms: -27 + 70 = 43
43 + 20x + 16x + -20x = -4(9 + -12x)

Combine like terms: 20x + 16x = 36x
43 + 36x + -20x = -4(9 + -12x)

Combine like terms: 36x + -20x = 16x
43 + 16x = -4(9 + -12x)
43 + 16x = (9 * -4 + -12x * -4)
43 + 16x = (-36 + 48x)

Solving
43 + 16x = -36 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
43 + 16x + -48x = -36 + 48x + -48x

Combine like terms: 16x + -48x = -32x
43 + -32x = -36 + 48x + -48x

Combine like terms: 48x + -48x = 0
43 + -32x = -36 + 0
43 + -32x = -36

Add '-43' to each side of the equation.
43 + -43 + -32x = -36 + -43

Combine like terms: 43 + -43 = 0
0 + -32x = -36 + -43
-32x = -36 + -43

Combine like terms: -36 + -43 = -79
-32x = -79

Divide each side by '-32'.
x = 2.46875

Simplifying
x = 2.46875

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