4(2x+10)=27+3(2x-5)

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Solution for 4(2x+10)=27+3(2x-5) equation:


Simplifying
4(2x + 10) = 27 + 3(2x + -5)

Reorder the terms:
4(10 + 2x) = 27 + 3(2x + -5)
(10 * 4 + 2x * 4) = 27 + 3(2x + -5)
(40 + 8x) = 27 + 3(2x + -5)

Reorder the terms:
40 + 8x = 27 + 3(-5 + 2x)
40 + 8x = 27 + (-5 * 3 + 2x * 3)
40 + 8x = 27 + (-15 + 6x)

Combine like terms: 27 + -15 = 12
40 + 8x = 12 + 6x

Solving
40 + 8x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
40 + 8x + -6x = 12 + 6x + -6x

Combine like terms: 8x + -6x = 2x
40 + 2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + 2x = 12 + 0
40 + 2x = 12

Add '-40' to each side of the equation.
40 + -40 + 2x = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 12 + -40
2x = 12 + -40

Combine like terms: 12 + -40 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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