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

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


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

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

Reorder the terms:
-8 + 3x = 2(3 + 5x)
-8 + 3x = (3 * 2 + 5x * 2)
-8 + 3x = (6 + 10x)

Solving
-8 + 3x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 3x + -10x = 6 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-8 + -7x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -7x = 6 + 0
-8 + -7x = 6

Add '8' to each side of the equation.
-8 + 8 + -7x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 6 + 8
-7x = 6 + 8

Combine like terms: 6 + 8 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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