10x-8=3(x+2)

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Solution for 10x-8=3(x+2) equation:


Simplifying
10x + -8 = 3(x + 2)

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

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

Solving
-8 + 10x = 6 + 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.
-8 + 10x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 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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