3x+5=61+-4x

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Solution for 3x+5=61+-4x equation:


Simplifying
3x + 5 = 61 + -4x

Reorder the terms:
5 + 3x = 61 + -4x

Solving
5 + 3x = 61 + -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 = 61 + -4x + 4x

Combine like terms: 3x + 4x = 7x
5 + 7x = 61 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 7x = 61 + 0
5 + 7x = 61

Add '-5' to each side of the equation.
5 + -5 + 7x = 61 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 61 + -5
7x = 61 + -5

Combine like terms: 61 + -5 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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