3*x+32=4*x-15

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Solution for 3*x+32=4*x-15 equation: 


Simplifying
3x + 32 = 4x + -15

Reorder the terms:
32 + 3x = 4x + -15

Reorder the terms:
32 + 3x = -15 + 4x

Solving
32 + 3x = -15 + 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.
32 + 3x + -4x = -15 + 4x + -4x

Combine like terms: 3x + -4x = -1x
32 + -1x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + -1x = -15 + 0
32 + -1x = -15

Add '-32' to each side of the equation.
32 + -32 + -1x = -15 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -15 + -32
-1x = -15 + -32

Combine like terms: -15 + -32 = -47
-1x = -47

Divide each side by '-1'.
x = 47

Simplifying
x = 47

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