1-3(x+4)=5x-27

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Solution for 1-3(x+4)=5x-27 equation:


Simplifying
1 + -3(x + 4) = 5x + -27

Reorder the terms:
1 + -3(4 + x) = 5x + -27
1 + (4 * -3 + x * -3) = 5x + -27
1 + (-12 + -3x) = 5x + -27

Combine like terms: 1 + -12 = -11
-11 + -3x = 5x + -27

Reorder the terms:
-11 + -3x = -27 + 5x

Solving
-11 + -3x = -27 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-11 + -3x + -5x = -27 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-11 + -8x = -27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + -8x = -27 + 0
-11 + -8x = -27

Add '11' to each side of the equation.
-11 + 11 + -8x = -27 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = -27 + 11
-8x = -27 + 11

Combine like terms: -27 + 11 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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