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

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


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

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

Combine like terms: 8 + 6 = 14
14 + 3x = 5(x + -1)

Reorder the terms:
14 + 3x = 5(-1 + x)
14 + 3x = (-1 * 5 + x * 5)
14 + 3x = (-5 + 5x)

Solving
14 + 3x = -5 + 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.
14 + 3x + -5x = -5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
14 + -2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -2x = -5 + 0
14 + -2x = -5

Add '-14' to each side of the equation.
14 + -14 + -2x = -5 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -5 + -14
-2x = -5 + -14

Combine like terms: -5 + -14 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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