8+2(3x-5)=5-5(2x+1)

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Solution for 8+2(3x-5)=5-5(2x+1) equation:


Simplifying
8 + 2(3x + -5) = 5 + -5(2x + 1)

Reorder the terms:
8 + 2(-5 + 3x) = 5 + -5(2x + 1)
8 + (-5 * 2 + 3x * 2) = 5 + -5(2x + 1)
8 + (-10 + 6x) = 5 + -5(2x + 1)

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

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

Combine like terms: 5 + -5 = 0
-2 + 6x = 0 + -10x
-2 + 6x = -10x

Solving
-2 + 6x = -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 + 6x + 10x = -10x + 10x

Combine like terms: 6x + 10x = 16x
-2 + 16x = -10x + 10x

Combine like terms: -10x + 10x = 0
-2 + 16x = 0

Add '2' to each side of the equation.
-2 + 2 + 16x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 16x = 0 + 2
16x = 0 + 2

Combine like terms: 0 + 2 = 2
16x = 2

Divide each side by '16'.
x = 0.125

Simplifying
x = 0.125

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