3x+5=4x-5

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


Simplifying
3x + 5 = 4x + -5

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

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

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

Combine like terms: 3x + -4x = -1x
5 + -1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -5 + 0
5 + -1x = -5

Add '-5' to each side of the equation.
5 + -5 + -1x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -5 + -5
-1x = -5 + -5

Combine like terms: -5 + -5 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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