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

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


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

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

Reorder the terms:
-10 + 3 + 5x = 2x + -8

Combine like terms: -10 + 3 = -7
-7 + 5x = 2x + -8

Reorder the terms:
-7 + 5x = -8 + 2x

Solving
-7 + 5x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-7 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 3x = -8 + 0
-7 + 3x = -8

Add '7' to each side of the equation.
-7 + 7 + 3x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -8 + 7
3x = -8 + 7

Combine like terms: -8 + 7 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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