10(x+4)-9(x-31)=8(x+3)

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Solution for 10(x+4)-9(x-31)=8(x+3) equation:


Simplifying
10(x + 4) + -9(x + -31) = 8(x + 3)

Reorder the terms:
10(4 + x) + -9(x + -31) = 8(x + 3)
(4 * 10 + x * 10) + -9(x + -31) = 8(x + 3)
(40 + 10x) + -9(x + -31) = 8(x + 3)

Reorder the terms:
40 + 10x + -9(-31 + x) = 8(x + 3)
40 + 10x + (-31 * -9 + x * -9) = 8(x + 3)
40 + 10x + (279 + -9x) = 8(x + 3)

Reorder the terms:
40 + 279 + 10x + -9x = 8(x + 3)

Combine like terms: 40 + 279 = 319
319 + 10x + -9x = 8(x + 3)

Combine like terms: 10x + -9x = 1x
319 + 1x = 8(x + 3)

Reorder the terms:
319 + 1x = 8(3 + x)
319 + 1x = (3 * 8 + x * 8)
319 + 1x = (24 + 8x)

Solving
319 + 1x = 24 + 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.
319 + 1x + -8x = 24 + 8x + -8x

Combine like terms: 1x + -8x = -7x
319 + -7x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
319 + -7x = 24 + 0
319 + -7x = 24

Add '-319' to each side of the equation.
319 + -319 + -7x = 24 + -319

Combine like terms: 319 + -319 = 0
0 + -7x = 24 + -319
-7x = 24 + -319

Combine like terms: 24 + -319 = -295
-7x = -295

Divide each side by '-7'.
x = 42.14285714

Simplifying
x = 42.14285714

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