4x+9(x-2)=8(x-8)

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Solution for 4x+9(x-2)=8(x-8) equation:


Simplifying
4x + 9(x + -2) = 8(x + -8)

Reorder the terms:
4x + 9(-2 + x) = 8(x + -8)
4x + (-2 * 9 + x * 9) = 8(x + -8)
4x + (-18 + 9x) = 8(x + -8)

Reorder the terms:
-18 + 4x + 9x = 8(x + -8)

Combine like terms: 4x + 9x = 13x
-18 + 13x = 8(x + -8)

Reorder the terms:
-18 + 13x = 8(-8 + x)
-18 + 13x = (-8 * 8 + x * 8)
-18 + 13x = (-64 + 8x)

Solving
-18 + 13x = -64 + 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.
-18 + 13x + -8x = -64 + 8x + -8x

Combine like terms: 13x + -8x = 5x
-18 + 5x = -64 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + 5x = -64 + 0
-18 + 5x = -64

Add '18' to each side of the equation.
-18 + 18 + 5x = -64 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -64 + 18
5x = -64 + 18

Combine like terms: -64 + 18 = -46
5x = -46

Divide each side by '5'.
x = -9.2

Simplifying
x = -9.2

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