5+2(4x-5)=6-5(2x+1)

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Solution for 5+2(4x-5)=6-5(2x+1) equation:


Simplifying
5 + 2(4x + -5) = 6 + -5(2x + 1)

Reorder the terms:
5 + 2(-5 + 4x) = 6 + -5(2x + 1)
5 + (-5 * 2 + 4x * 2) = 6 + -5(2x + 1)
5 + (-10 + 8x) = 6 + -5(2x + 1)

Combine like terms: 5 + -10 = -5
-5 + 8x = 6 + -5(2x + 1)

Reorder the terms:
-5 + 8x = 6 + -5(1 + 2x)
-5 + 8x = 6 + (1 * -5 + 2x * -5)
-5 + 8x = 6 + (-5 + -10x)

Combine like terms: 6 + -5 = 1
-5 + 8x = 1 + -10x

Solving
-5 + 8x = 1 + -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.
-5 + 8x + 10x = 1 + -10x + 10x

Combine like terms: 8x + 10x = 18x
-5 + 18x = 1 + -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 18x = 1 + 0
-5 + 18x = 1

Add '5' to each side of the equation.
-5 + 5 + 18x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 18x = 1 + 5
18x = 1 + 5

Combine like terms: 1 + 5 = 6
18x = 6

Divide each side by '18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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