5x+42=8x+12

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Solution for 5x+42=8x+12 equation:


Simplifying
5x + 42 = 8x + 12

Reorder the terms:
42 + 5x = 8x + 12

Reorder the terms:
42 + 5x = 12 + 8x

Solving
42 + 5x = 12 + 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.
42 + 5x + -8x = 12 + 8x + -8x

Combine like terms: 5x + -8x = -3x
42 + -3x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
42 + -3x = 12 + 0
42 + -3x = 12

Add '-42' to each side of the equation.
42 + -42 + -3x = 12 + -42

Combine like terms: 42 + -42 = 0
0 + -3x = 12 + -42
-3x = 12 + -42

Combine like terms: 12 + -42 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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