4x+6=120-10x

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Solution for 4x+6=120-10x equation:


Simplifying
4x + 6 = 120 + -10x

Reorder the terms:
6 + 4x = 120 + -10x

Solving
6 + 4x = 120 + -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.
6 + 4x + 10x = 120 + -10x + 10x

Combine like terms: 4x + 10x = 14x
6 + 14x = 120 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 14x = 120 + 0
6 + 14x = 120

Add '-6' to each side of the equation.
6 + -6 + 14x = 120 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 120 + -6
14x = 120 + -6

Combine like terms: 120 + -6 = 114
14x = 114

Divide each side by '14'.
x = 8.142857143

Simplifying
x = 8.142857143

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