9(x+5)-3(x-2)=8x+31

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Solution for 9(x+5)-3(x-2)=8x+31 equation:


Simplifying
9(x + 5) + -3(x + -2) = 8x + 31

Reorder the terms:
9(5 + x) + -3(x + -2) = 8x + 31
(5 * 9 + x * 9) + -3(x + -2) = 8x + 31
(45 + 9x) + -3(x + -2) = 8x + 31

Reorder the terms:
45 + 9x + -3(-2 + x) = 8x + 31
45 + 9x + (-2 * -3 + x * -3) = 8x + 31
45 + 9x + (6 + -3x) = 8x + 31

Reorder the terms:
45 + 6 + 9x + -3x = 8x + 31

Combine like terms: 45 + 6 = 51
51 + 9x + -3x = 8x + 31

Combine like terms: 9x + -3x = 6x
51 + 6x = 8x + 31

Reorder the terms:
51 + 6x = 31 + 8x

Solving
51 + 6x = 31 + 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.
51 + 6x + -8x = 31 + 8x + -8x

Combine like terms: 6x + -8x = -2x
51 + -2x = 31 + 8x + -8x

Combine like terms: 8x + -8x = 0
51 + -2x = 31 + 0
51 + -2x = 31

Add '-51' to each side of the equation.
51 + -51 + -2x = 31 + -51

Combine like terms: 51 + -51 = 0
0 + -2x = 31 + -51
-2x = 31 + -51

Combine like terms: 31 + -51 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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