12-5(x+3)=8x-5

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Solution for 12-5(x+3)=8x-5 equation:


Simplifying
12 + -5(x + 3) = 8x + -5

Reorder the terms:
12 + -5(3 + x) = 8x + -5
12 + (3 * -5 + x * -5) = 8x + -5
12 + (-15 + -5x) = 8x + -5

Combine like terms: 12 + -15 = -3
-3 + -5x = 8x + -5

Reorder the terms:
-3 + -5x = -5 + 8x

Solving
-3 + -5x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + -5x + -8x = -5 + 8x + -8x

Combine like terms: -5x + -8x = -13x
-3 + -13x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -13x = -5 + 0
-3 + -13x = -5

Add '3' to each side of the equation.
-3 + 3 + -13x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -13x = -5 + 3
-13x = -5 + 3

Combine like terms: -5 + 3 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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