5(x+6)=-4(2x-9)+4x

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Solution for 5(x+6)=-4(2x-9)+4x equation:


Simplifying
5(x + 6) = -4(2x + -9) + 4x

Reorder the terms:
5(6 + x) = -4(2x + -9) + 4x
(6 * 5 + x * 5) = -4(2x + -9) + 4x
(30 + 5x) = -4(2x + -9) + 4x

Reorder the terms:
30 + 5x = -4(-9 + 2x) + 4x
30 + 5x = (-9 * -4 + 2x * -4) + 4x
30 + 5x = (36 + -8x) + 4x

Combine like terms: -8x + 4x = -4x
30 + 5x = 36 + -4x

Solving
30 + 5x = 36 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
30 + 5x + 4x = 36 + -4x + 4x

Combine like terms: 5x + 4x = 9x
30 + 9x = 36 + -4x + 4x

Combine like terms: -4x + 4x = 0
30 + 9x = 36 + 0
30 + 9x = 36

Add '-30' to each side of the equation.
30 + -30 + 9x = 36 + -30

Combine like terms: 30 + -30 = 0
0 + 9x = 36 + -30
9x = 36 + -30

Combine like terms: 36 + -30 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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