3x+10=4x-32

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Solution for 3x+10=4x-32 equation:


Simplifying
3x + 10 = 4x + -32

Reorder the terms:
10 + 3x = 4x + -32

Reorder the terms:
10 + 3x = -32 + 4x

Solving
10 + 3x = -32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 3x + -4x = -32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = -32 + 0
10 + -1x = -32

Add '-10' to each side of the equation.
10 + -10 + -1x = -32 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -32 + -10
-1x = -32 + -10

Combine like terms: -32 + -10 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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