5x+4(3+3x)=-2x+31

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Solution for 5x+4(3+3x)=-2x+31 equation: 


Simplifying
5x + 4(3 + 3x) = -2x + 31
5x + (3 * 4 + 3x * 4) = -2x + 31
5x + (12 + 12x) = -2x + 31

Reorder the terms:
12 + 5x + 12x = -2x + 31

Combine like terms: 5x + 12x = 17x
12 + 17x = -2x + 31

Reorder the terms:
12 + 17x = 31 + -2x

Solving
12 + 17x = 31 + -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.
12 + 17x + 2x = 31 + -2x + 2x

Combine like terms: 17x + 2x = 19x
12 + 19x = 31 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 19x = 31 + 0
12 + 19x = 31

Add '-12' to each side of the equation.
12 + -12 + 19x = 31 + -12

Combine like terms: 12 + -12 = 0
0 + 19x = 31 + -12
19x = 31 + -12

Combine like terms: 31 + -12 = 19
19x = 19

Divide each side by '19'.
x = 1

Simplifying
x = 1

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