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

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


Simplifying
3 + -5(-2 + -1x) = 4(5x + -2 + -3x) + 31
3 + (-2 * -5 + -1x * -5) = 4(5x + -2 + -3x) + 31
3 + (10 + 5x) = 4(5x + -2 + -3x) + 31

Combine like terms: 3 + 10 = 13
13 + 5x = 4(5x + -2 + -3x) + 31

Reorder the terms:
13 + 5x = 4(-2 + 5x + -3x) + 31

Combine like terms: 5x + -3x = 2x
13 + 5x = 4(-2 + 2x) + 31
13 + 5x = (-2 * 4 + 2x * 4) + 31
13 + 5x = (-8 + 8x) + 31

Reorder the terms:
13 + 5x = -8 + 31 + 8x

Combine like terms: -8 + 31 = 23
13 + 5x = 23 + 8x

Solving
13 + 5x = 23 + 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.
13 + 5x + -8x = 23 + 8x + -8x

Combine like terms: 5x + -8x = -3x
13 + -3x = 23 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -3x = 23 + 0
13 + -3x = 23

Add '-13' to each side of the equation.
13 + -13 + -3x = 23 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 23 + -13
-3x = 23 + -13

Combine like terms: 23 + -13 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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