8+3(5x-6)=8-5(2x+1)

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Solution for 8+3(5x-6)=8-5(2x+1) equation:


Simplifying
8 + 3(5x + -6) = 8 + -5(2x + 1)

Reorder the terms:
8 + 3(-6 + 5x) = 8 + -5(2x + 1)
8 + (-6 * 3 + 5x * 3) = 8 + -5(2x + 1)
8 + (-18 + 15x) = 8 + -5(2x + 1)

Combine like terms: 8 + -18 = -10
-10 + 15x = 8 + -5(2x + 1)

Reorder the terms:
-10 + 15x = 8 + -5(1 + 2x)
-10 + 15x = 8 + (1 * -5 + 2x * -5)
-10 + 15x = 8 + (-5 + -10x)

Combine like terms: 8 + -5 = 3
-10 + 15x = 3 + -10x

Solving
-10 + 15x = 3 + -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.
-10 + 15x + 10x = 3 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-10 + 25x = 3 + -10x + 10x

Combine like terms: -10x + 10x = 0
-10 + 25x = 3 + 0
-10 + 25x = 3

Add '10' to each side of the equation.
-10 + 10 + 25x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = 3 + 10
25x = 3 + 10

Combine like terms: 3 + 10 = 13
25x = 13

Divide each side by '25'.
x = 0.52

Simplifying
x = 0.52

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