2x+31=4(8x+7)-27

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Solution for 2x+31=4(8x+7)-27 equation:


Simplifying
2x + 31 = 4(8x + 7) + -27

Reorder the terms:
31 + 2x = 4(8x + 7) + -27

Reorder the terms:
31 + 2x = 4(7 + 8x) + -27
31 + 2x = (7 * 4 + 8x * 4) + -27
31 + 2x = (28 + 32x) + -27

Reorder the terms:
31 + 2x = 28 + -27 + 32x

Combine like terms: 28 + -27 = 1
31 + 2x = 1 + 32x

Solving
31 + 2x = 1 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
31 + 2x + -32x = 1 + 32x + -32x

Combine like terms: 2x + -32x = -30x
31 + -30x = 1 + 32x + -32x

Combine like terms: 32x + -32x = 0
31 + -30x = 1 + 0
31 + -30x = 1

Add '-31' to each side of the equation.
31 + -31 + -30x = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -30x = 1 + -31
-30x = 1 + -31

Combine like terms: 1 + -31 = -30
-30x = -30

Divide each side by '-30'.
x = 1

Simplifying
x = 1

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