4(x-9)+52=2(3x+17)+2x

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Solution for 4(x-9)+52=2(3x+17)+2x equation: 


Simplifying
4(x + -9) + 52 = 2(3x + 17) + 2x

Reorder the terms:
4(-9 + x) + 52 = 2(3x + 17) + 2x
(-9 * 4 + x * 4) + 52 = 2(3x + 17) + 2x
(-36 + 4x) + 52 = 2(3x + 17) + 2x

Reorder the terms:
-36 + 52 + 4x = 2(3x + 17) + 2x

Combine like terms: -36 + 52 = 16
16 + 4x = 2(3x + 17) + 2x

Reorder the terms:
16 + 4x = 2(17 + 3x) + 2x
16 + 4x = (17 * 2 + 3x * 2) + 2x
16 + 4x = (34 + 6x) + 2x

Combine like terms: 6x + 2x = 8x
16 + 4x = 34 + 8x

Solving
16 + 4x = 34 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + 4x + -8x = 34 + 8x + -8x

Combine like terms: 4x + -8x = -4x
16 + -4x = 34 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -4x = 34 + 0
16 + -4x = 34

Add '-16' to each side of the equation.
16 + -16 + -4x = 34 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 34 + -16
-4x = 34 + -16

Combine like terms: 34 + -16 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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