27-3(x+4)=4x-(2x-20)

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Solution for 27-3(x+4)=4x-(2x-20) equation: 


Simplifying
27 + -3(x + 4) = 4x + -1(2x + -20)

Reorder the terms:
27 + -3(4 + x) = 4x + -1(2x + -20)
27 + (4 * -3 + x * -3) = 4x + -1(2x + -20)
27 + (-12 + -3x) = 4x + -1(2x + -20)

Combine like terms: 27 + -12 = 15
15 + -3x = 4x + -1(2x + -20)

Reorder the terms:
15 + -3x = 4x + -1(-20 + 2x)
15 + -3x = 4x + (-20 * -1 + 2x * -1)
15 + -3x = 4x + (20 + -2x)

Reorder the terms:
15 + -3x = 20 + 4x + -2x

Combine like terms: 4x + -2x = 2x
15 + -3x = 20 + 2x

Solving
15 + -3x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -3x + -2x = 20 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = 20 + 0
15 + -5x = 20

Add '-15' to each side of the equation.
15 + -15 + -5x = 20 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 20 + -15
-5x = 20 + -15

Combine like terms: 20 + -15 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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