5(x+4)=-2(4x-7)+9x

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Solution for 5(x+4)=-2(4x-7)+9x equation:


Simplifying
5(x + 4) = -2(4x + -7) + 9x

Reorder the terms:
5(4 + x) = -2(4x + -7) + 9x
(4 * 5 + x * 5) = -2(4x + -7) + 9x
(20 + 5x) = -2(4x + -7) + 9x

Reorder the terms:
20 + 5x = -2(-7 + 4x) + 9x
20 + 5x = (-7 * -2 + 4x * -2) + 9x
20 + 5x = (14 + -8x) + 9x

Combine like terms: -8x + 9x = 1x
20 + 5x = 14 + 1x

Solving
20 + 5x = 14 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 5x + -1x = 14 + 1x + -1x

Combine like terms: 5x + -1x = 4x
20 + 4x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + 4x = 14 + 0
20 + 4x = 14

Add '-20' to each side of the equation.
20 + -20 + 4x = 14 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 14 + -20
4x = 14 + -20

Combine like terms: 14 + -20 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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