31-3(x-1)=4(2x+3)

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Solution for 31-3(x-1)=4(2x+3) equation: 


Simplifying
31 + -3(x + -1) = 4(2x + 3)

Reorder the terms:
31 + -3(-1 + x) = 4(2x + 3)
31 + (-1 * -3 + x * -3) = 4(2x + 3)
31 + (3 + -3x) = 4(2x + 3)

Combine like terms: 31 + 3 = 34
34 + -3x = 4(2x + 3)

Reorder the terms:
34 + -3x = 4(3 + 2x)
34 + -3x = (3 * 4 + 2x * 4)
34 + -3x = (12 + 8x)

Solving
34 + -3x = 12 + 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.
34 + -3x + -8x = 12 + 8x + -8x

Combine like terms: -3x + -8x = -11x
34 + -11x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + -11x = 12 + 0
34 + -11x = 12

Add '-34' to each side of the equation.
34 + -34 + -11x = 12 + -34

Combine like terms: 34 + -34 = 0
0 + -11x = 12 + -34
-11x = 12 + -34

Combine like terms: 12 + -34 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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