5x+42=8x-3

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


Simplifying
5x + 42 = 8x + -3

Reorder the terms:
42 + 5x = 8x + -3

Reorder the terms:
42 + 5x = -3 + 8x

Solving
42 + 5x = -3 + 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 = -3 + 8x + -8x

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

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

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

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

Combine like terms: -3 + -42 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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