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

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


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

Reorder the terms:
5(-3 + 2x) = 3x + -8
(-3 * 5 + 2x * 5) = 3x + -8
(-15 + 10x) = 3x + -8

Reorder the terms:
-15 + 10x = -8 + 3x

Solving
-15 + 10x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-15 + 10x + -3x = -8 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-15 + 7x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 7x = -8 + 0
-15 + 7x = -8

Add '15' to each side of the equation.
-15 + 15 + 7x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = -8 + 15
7x = -8 + 15

Combine like terms: -8 + 15 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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