6(2x+3)=8x+42

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Solution for 6(2x+3)=8x+42 equation:


Simplifying
6(2x + 3) = 8x + 42

Reorder the terms:
6(3 + 2x) = 8x + 42
(3 * 6 + 2x * 6) = 8x + 42
(18 + 12x) = 8x + 42

Reorder the terms:
18 + 12x = 42 + 8x

Solving
18 + 12x = 42 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 12x + -8x = 42 + 8x + -8x

Combine like terms: 12x + -8x = 4x
18 + 4x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + 4x = 42 + 0
18 + 4x = 42

Add '-18' to each side of the equation.
18 + -18 + 4x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 42 + -18
4x = 42 + -18

Combine like terms: 42 + -18 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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