2(x-7)+36=4(2x-5)+60

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Solution for 2(x-7)+36=4(2x-5)+60 equation:


Simplifying
2(x + -7) + 36 = 4(2x + -5) + 60

Reorder the terms:
2(-7 + x) + 36 = 4(2x + -5) + 60
(-7 * 2 + x * 2) + 36 = 4(2x + -5) + 60
(-14 + 2x) + 36 = 4(2x + -5) + 60

Reorder the terms:
-14 + 36 + 2x = 4(2x + -5) + 60

Combine like terms: -14 + 36 = 22
22 + 2x = 4(2x + -5) + 60

Reorder the terms:
22 + 2x = 4(-5 + 2x) + 60
22 + 2x = (-5 * 4 + 2x * 4) + 60
22 + 2x = (-20 + 8x) + 60

Reorder the terms:
22 + 2x = -20 + 60 + 8x

Combine like terms: -20 + 60 = 40
22 + 2x = 40 + 8x

Solving
22 + 2x = 40 + 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.
22 + 2x + -8x = 40 + 8x + -8x

Combine like terms: 2x + -8x = -6x
22 + -6x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -6x = 40 + 0
22 + -6x = 40

Add '-22' to each side of the equation.
22 + -22 + -6x = 40 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = 40 + -22
-6x = 40 + -22

Combine like terms: 40 + -22 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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