5x+32=8x-10

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Solution for 5x+32=8x-10 equation:


Simplifying
5x + 32 = 8x + -10

Reorder the terms:
32 + 5x = 8x + -10

Reorder the terms:
32 + 5x = -10 + 8x

Solving
32 + 5x = -10 + 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.
32 + 5x + -8x = -10 + 8x + -8x

Combine like terms: 5x + -8x = -3x
32 + -3x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -3x = -10 + 0
32 + -3x = -10

Add '-32' to each side of the equation.
32 + -32 + -3x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -10 + -32
-3x = -10 + -32

Combine like terms: -10 + -32 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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