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

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


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

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

Reorder the terms:
20 + 8x = 3(-5 + 3x) + -31
20 + 8x = (-5 * 3 + 3x * 3) + -31
20 + 8x = (-15 + 9x) + -31

Reorder the terms:
20 + 8x = -15 + -31 + 9x

Combine like terms: -15 + -31 = -46
20 + 8x = -46 + 9x

Solving
20 + 8x = -46 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 8x + -9x = -46 + 9x + -9x

Combine like terms: 8x + -9x = -1x
20 + -1x = -46 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -1x = -46 + 0
20 + -1x = -46

Add '-20' to each side of the equation.
20 + -20 + -1x = -46 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -46 + -20
-1x = -46 + -20

Combine like terms: -46 + -20 = -66
-1x = -66

Divide each side by '-1'.
x = 66

Simplifying
x = 66

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