10(x+4)-9(x-3)-1=8(x+3)

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Solution for 10(x+4)-9(x-3)-1=8(x+3) equation:


Simplifying
10(x + 4) + -9(x + -3) + -1 = 8(x + 3)

Reorder the terms:
10(4 + x) + -9(x + -3) + -1 = 8(x + 3)
(4 * 10 + x * 10) + -9(x + -3) + -1 = 8(x + 3)
(40 + 10x) + -9(x + -3) + -1 = 8(x + 3)

Reorder the terms:
40 + 10x + -9(-3 + x) + -1 = 8(x + 3)
40 + 10x + (-3 * -9 + x * -9) + -1 = 8(x + 3)
40 + 10x + (27 + -9x) + -1 = 8(x + 3)

Reorder the terms:
40 + 27 + -1 + 10x + -9x = 8(x + 3)

Combine like terms: 40 + 27 = 67
67 + -1 + 10x + -9x = 8(x + 3)

Combine like terms: 67 + -1 = 66
66 + 10x + -9x = 8(x + 3)

Combine like terms: 10x + -9x = 1x
66 + 1x = 8(x + 3)

Reorder the terms:
66 + 1x = 8(3 + x)
66 + 1x = (3 * 8 + x * 8)
66 + 1x = (24 + 8x)

Solving
66 + 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.
66 + 1x + -8x = 24 + 8x + -8x

Combine like terms: 1x + -8x = -7x
66 + -7x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
66 + -7x = 24 + 0
66 + -7x = 24

Add '-66' to each side of the equation.
66 + -66 + -7x = 24 + -66

Combine like terms: 66 + -66 = 0
0 + -7x = 24 + -66
-7x = 24 + -66

Combine like terms: 24 + -66 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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