8+2(4x-5)=9-5(2x+1)

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Solution for 8+2(4x-5)=9-5(2x+1) equation:


Simplifying
8 + 2(4x + -5) = 9 + -5(2x + 1)

Reorder the terms:
8 + 2(-5 + 4x) = 9 + -5(2x + 1)
8 + (-5 * 2 + 4x * 2) = 9 + -5(2x + 1)
8 + (-10 + 8x) = 9 + -5(2x + 1)

Combine like terms: 8 + -10 = -2
-2 + 8x = 9 + -5(2x + 1)

Reorder the terms:
-2 + 8x = 9 + -5(1 + 2x)
-2 + 8x = 9 + (1 * -5 + 2x * -5)
-2 + 8x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-2 + 8x = 4 + -10x

Solving
-2 + 8x = 4 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
-2 + 8x + 10x = 4 + -10x + 10x

Combine like terms: 8x + 10x = 18x
-2 + 18x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-2 + 18x = 4 + 0
-2 + 18x = 4

Add '2' to each side of the equation.
-2 + 2 + 18x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 18x = 4 + 2
18x = 4 + 2

Combine like terms: 4 + 2 = 6
18x = 6

Divide each side by '18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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