6(5x+3)-8x=6x+42

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Solution for 6(5x+3)-8x=6x+42 equation:


Simplifying
6(5x + 3) + -8x = 6x + 42

Reorder the terms:
6(3 + 5x) + -8x = 6x + 42
(3 * 6 + 5x * 6) + -8x = 6x + 42
(18 + 30x) + -8x = 6x + 42

Combine like terms: 30x + -8x = 22x
18 + 22x = 6x + 42

Reorder the terms:
18 + 22x = 42 + 6x

Solving
18 + 22x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + 22x + -6x = 42 + 6x + -6x

Combine like terms: 22x + -6x = 16x
18 + 16x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + 16x = 42 + 0
18 + 16x = 42

Add '-18' to each side of the equation.
18 + -18 + 16x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 16x = 42 + -18
16x = 42 + -18

Combine like terms: 42 + -18 = 24
16x = 24

Divide each side by '16'.
x = 1.5

Simplifying
x = 1.5

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