4x+6=76-3x

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Solution for 4x+6=76-3x equation:


Simplifying
4x + 6 = 76 + -3x

Reorder the terms:
6 + 4x = 76 + -3x

Solving
6 + 4x = 76 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 4x + 3x = 76 + -3x + 3x

Combine like terms: 4x + 3x = 7x
6 + 7x = 76 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 7x = 76 + 0
6 + 7x = 76

Add '-6' to each side of the equation.
6 + -6 + 7x = 76 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 76 + -6
7x = 76 + -6

Combine like terms: 76 + -6 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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