4(x+7)-9=5(2x-9)+8

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


Simplifying
4(x + 7) + -9 = 5(2x + -9) + 8

Reorder the terms:
4(7 + x) + -9 = 5(2x + -9) + 8
(7 * 4 + x * 4) + -9 = 5(2x + -9) + 8
(28 + 4x) + -9 = 5(2x + -9) + 8

Reorder the terms:
28 + -9 + 4x = 5(2x + -9) + 8

Combine like terms: 28 + -9 = 19
19 + 4x = 5(2x + -9) + 8

Reorder the terms:
19 + 4x = 5(-9 + 2x) + 8
19 + 4x = (-9 * 5 + 2x * 5) + 8
19 + 4x = (-45 + 10x) + 8

Reorder the terms:
19 + 4x = -45 + 8 + 10x

Combine like terms: -45 + 8 = -37
19 + 4x = -37 + 10x

Solving
19 + 4x = -37 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + 4x + -10x = -37 + 10x + -10x

Combine like terms: 4x + -10x = -6x
19 + -6x = -37 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -6x = -37 + 0
19 + -6x = -37

Add '-19' to each side of the equation.
19 + -19 + -6x = -37 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = -37 + -19
-6x = -37 + -19

Combine like terms: -37 + -19 = -56
-6x = -56

Divide each side by '-6'.
x = 9.333333333

Simplifying
x = 9.333333333

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