10(x+3)=2x+6

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Solution for 10(x+3)=2x+6 equation:


Simplifying
10(x + 3) = 2x + 6

Reorder the terms:
10(3 + x) = 2x + 6
(3 * 10 + x * 10) = 2x + 6
(30 + 10x) = 2x + 6

Reorder the terms:
30 + 10x = 6 + 2x

Solving
30 + 10x = 6 + 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.
30 + 10x + -2x = 6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
30 + 8x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 8x = 6 + 0
30 + 8x = 6

Add '-30' to each side of the equation.
30 + -30 + 8x = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = 6 + -30
8x = 6 + -30

Combine like terms: 6 + -30 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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