-3x+5=4x-16

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Solution for -3x+5=4x-16 equation:


Simplifying
-3x + 5 = 4x + -16

Reorder the terms:
5 + -3x = 4x + -16

Reorder the terms:
5 + -3x = -16 + 4x

Solving
5 + -3x = -16 + 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.
5 + -3x + -4x = -16 + 4x + -4x

Combine like terms: -3x + -4x = -7x
5 + -7x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -7x = -16 + 0
5 + -7x = -16

Add '-5' to each side of the equation.
5 + -5 + -7x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -16 + -5
-7x = -16 + -5

Combine like terms: -16 + -5 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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