4(5x+2)-7(3x+5)=x-31

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Solution for 4(5x+2)-7(3x+5)=x-31 equation:


Simplifying
4(5x + 2) + -7(3x + 5) = x + -31

Reorder the terms:
4(2 + 5x) + -7(3x + 5) = x + -31
(2 * 4 + 5x * 4) + -7(3x + 5) = x + -31
(8 + 20x) + -7(3x + 5) = x + -31

Reorder the terms:
8 + 20x + -7(5 + 3x) = x + -31
8 + 20x + (5 * -7 + 3x * -7) = x + -31
8 + 20x + (-35 + -21x) = x + -31

Reorder the terms:
8 + -35 + 20x + -21x = x + -31

Combine like terms: 8 + -35 = -27
-27 + 20x + -21x = x + -31

Combine like terms: 20x + -21x = -1x
-27 + -1x = x + -31

Reorder the terms:
-27 + -1x = -31 + x

Solving
-27 + -1x = -31 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-27 + -1x + -1x = -31 + x + -1x

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

Combine like terms: x + -1x = 0
-27 + -2x = -31 + 0
-27 + -2x = -31

Add '27' to each side of the equation.
-27 + 27 + -2x = -31 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = -31 + 27
-2x = -31 + 27

Combine like terms: -31 + 27 = -4
-2x = -4

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

Simplifying
x = 2

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