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

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


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

Reorder the terms:
3(-2 + 5x) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x)
(-2 * 3 + 5x * 3) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x)
(-6 + 15x) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x)
-6 + 15x + (7 * -9 + -9x * -9) + 3(-5x + 9) = -5(6 + -10x)
-6 + 15x + (-63 + 81x) + 3(-5x + 9) = -5(6 + -10x)

Reorder the terms:
-6 + 15x + -63 + 81x + 3(9 + -5x) = -5(6 + -10x)
-6 + 15x + -63 + 81x + (9 * 3 + -5x * 3) = -5(6 + -10x)
-6 + 15x + -63 + 81x + (27 + -15x) = -5(6 + -10x)

Reorder the terms:
-6 + -63 + 27 + 15x + 81x + -15x = -5(6 + -10x)

Combine like terms: -6 + -63 = -69
-69 + 27 + 15x + 81x + -15x = -5(6 + -10x)

Combine like terms: -69 + 27 = -42
-42 + 15x + 81x + -15x = -5(6 + -10x)

Combine like terms: 15x + 81x = 96x
-42 + 96x + -15x = -5(6 + -10x)

Combine like terms: 96x + -15x = 81x
-42 + 81x = -5(6 + -10x)
-42 + 81x = (6 * -5 + -10x * -5)
-42 + 81x = (-30 + 50x)

Solving
-42 + 81x = -30 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-42 + 81x + -50x = -30 + 50x + -50x

Combine like terms: 81x + -50x = 31x
-42 + 31x = -30 + 50x + -50x

Combine like terms: 50x + -50x = 0
-42 + 31x = -30 + 0
-42 + 31x = -30

Add '42' to each side of the equation.
-42 + 42 + 31x = -30 + 42

Combine like terms: -42 + 42 = 0
0 + 31x = -30 + 42
31x = -30 + 42

Combine like terms: -30 + 42 = 12
31x = 12

Divide each side by '31'.
x = 0.3870967742

Simplifying
x = 0.3870967742

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