3(2x+12)+8=10x+6

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Solution for 3(2x+12)+8=10x+6 equation:


Simplifying
3(2x + 12) + 8 = 10x + 6

Reorder the terms:
3(12 + 2x) + 8 = 10x + 6
(12 * 3 + 2x * 3) + 8 = 10x + 6
(36 + 6x) + 8 = 10x + 6

Reorder the terms:
36 + 8 + 6x = 10x + 6

Combine like terms: 36 + 8 = 44
44 + 6x = 10x + 6

Reorder the terms:
44 + 6x = 6 + 10x

Solving
44 + 6x = 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.
44 + 6x + -10x = 6 + 10x + -10x

Combine like terms: 6x + -10x = -4x
44 + -4x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
44 + -4x = 6 + 0
44 + -4x = 6

Add '-44' to each side of the equation.
44 + -44 + -4x = 6 + -44

Combine like terms: 44 + -44 = 0
0 + -4x = 6 + -44
-4x = 6 + -44

Combine like terms: 6 + -44 = -38
-4x = -38

Divide each side by '-4'.
x = 9.5

Simplifying
x = 9.5

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