2x+6(2)=x(3)+8

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Solution for 2x+6(2)=x(3)+8 equation:


Simplifying
2x + 6(2) = x(3) + 8

Multiply 6 * 2
2x + 12 = x(3) + 8

Reorder the terms:
12 + 2x = x(3) + 8

Reorder the terms for easier multiplication:
12 + 2x = 3x + 8

Reorder the terms:
12 + 2x = 8 + 3x

Solving
12 + 2x = 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.
12 + 2x + -3x = 8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -1x = 8 + 0
12 + -1x = 8

Add '-12' to each side of the equation.
12 + -12 + -1x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 8 + -12
-1x = 8 + -12

Combine like terms: 8 + -12 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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