4x-9=61-10x

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Solution for 4x-9=61-10x equation:


Simplifying
4x + -9 = 61 + -10x

Reorder the terms:
-9 + 4x = 61 + -10x

Solving
-9 + 4x = 61 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-9 + 4x + 10x = 61 + -10x + 10x

Combine like terms: 4x + 10x = 14x
-9 + 14x = 61 + -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 14x = 61 + 0
-9 + 14x = 61

Add '9' to each side of the equation.
-9 + 9 + 14x = 61 + 9

Combine like terms: -9 + 9 = 0
0 + 14x = 61 + 9
14x = 61 + 9

Combine like terms: 61 + 9 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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