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

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

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

Reorder the terms:
10(3 + x) + -9(x + -3) = 8(x + 3)
(3 * 10 + x * 10) + -9(x + -3) = 8(x + 3)
(30 + 10x) + -9(x + -3) = 8(x + 3)

Reorder the terms:
30 + 10x + -9(-3 + x) = 8(x + 3)
30 + 10x + (-3 * -9 + x * -9) = 8(x + 3)
30 + 10x + (27 + -9x) = 8(x + 3)

Reorder the terms:
30 + 27 + 10x + -9x = 8(x + 3)

Combine like terms: 30 + 27 = 57
57 + 10x + -9x = 8(x + 3)

Combine like terms: 10x + -9x = 1x
57 + 1x = 8(x + 3)

Reorder the terms:
57 + 1x = 8(3 + x)
57 + 1x = (3 * 8 + x * 8)
57 + 1x = (24 + 8x)

Solving
57 + 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.
57 + 1x + -8x = 24 + 8x + -8x

Combine like terms: 1x + -8x = -7x
57 + -7x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
57 + -7x = 24 + 0
57 + -7x = 24

Add '-57' to each side of the equation.
57 + -57 + -7x = 24 + -57

Combine like terms: 57 + -57 = 0
0 + -7x = 24 + -57
-7x = 24 + -57

Combine like terms: 24 + -57 = -33
-7x = -33

Divide each side by '-7'.
x = 4.714285714

Simplifying
x = 4.714285714