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

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


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

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

Combine like terms: 8 + -3 = 5
5 + -6x = 5(x + 2)

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

Solving
5 + -6x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + -6x + -5x = 10 + 5x + -5x

Combine like terms: -6x + -5x = -11x
5 + -11x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -11x = 10 + 0
5 + -11x = 10

Add '-5' to each side of the equation.
5 + -5 + -11x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 10 + -5
-11x = 10 + -5

Combine like terms: 10 + -5 = 5
-11x = 5

Divide each side by '-11'.
x = -0.4545454545

Simplifying
x = -0.4545454545

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