3(5x-7)-3(9-6x)+9(-8x+3)=-8(9-5x)

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


Simplifying
3(5x + -7) + -3(9 + -6x) + 9(-8x + 3) = -8(9 + -5x)

Reorder the terms:
3(-7 + 5x) + -3(9 + -6x) + 9(-8x + 3) = -8(9 + -5x)
(-7 * 3 + 5x * 3) + -3(9 + -6x) + 9(-8x + 3) = -8(9 + -5x)
(-21 + 15x) + -3(9 + -6x) + 9(-8x + 3) = -8(9 + -5x)
-21 + 15x + (9 * -3 + -6x * -3) + 9(-8x + 3) = -8(9 + -5x)
-21 + 15x + (-27 + 18x) + 9(-8x + 3) = -8(9 + -5x)

Reorder the terms:
-21 + 15x + -27 + 18x + 9(3 + -8x) = -8(9 + -5x)
-21 + 15x + -27 + 18x + (3 * 9 + -8x * 9) = -8(9 + -5x)
-21 + 15x + -27 + 18x + (27 + -72x) = -8(9 + -5x)

Reorder the terms:
-21 + -27 + 27 + 15x + 18x + -72x = -8(9 + -5x)

Combine like terms: -21 + -27 = -48
-48 + 27 + 15x + 18x + -72x = -8(9 + -5x)

Combine like terms: -48 + 27 = -21
-21 + 15x + 18x + -72x = -8(9 + -5x)

Combine like terms: 15x + 18x = 33x
-21 + 33x + -72x = -8(9 + -5x)

Combine like terms: 33x + -72x = -39x
-21 + -39x = -8(9 + -5x)
-21 + -39x = (9 * -8 + -5x * -8)
-21 + -39x = (-72 + 40x)

Solving
-21 + -39x = -72 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-21 + -39x + -40x = -72 + 40x + -40x

Combine like terms: -39x + -40x = -79x
-21 + -79x = -72 + 40x + -40x

Combine like terms: 40x + -40x = 0
-21 + -79x = -72 + 0
-21 + -79x = -72

Add '21' to each side of the equation.
-21 + 21 + -79x = -72 + 21

Combine like terms: -21 + 21 = 0
0 + -79x = -72 + 21
-79x = -72 + 21

Combine like terms: -72 + 21 = -51
-79x = -51

Divide each side by '-79'.
x = 0.6455696203

Simplifying
x = 0.6455696203

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