6(x-90)=3x+2

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Solution for 6(x-90)=3x+2 equation:


Simplifying
6(x + -90) = 3x + 2

Reorder the terms:
6(-90 + x) = 3x + 2
(-90 * 6 + x * 6) = 3x + 2
(-540 + 6x) = 3x + 2

Reorder the terms:
-540 + 6x = 2 + 3x

Solving
-540 + 6x = 2 + 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.
-540 + 6x + -3x = 2 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-540 + 3x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-540 + 3x = 2 + 0
-540 + 3x = 2

Add '540' to each side of the equation.
-540 + 540 + 3x = 2 + 540

Combine like terms: -540 + 540 = 0
0 + 3x = 2 + 540
3x = 2 + 540

Combine like terms: 2 + 540 = 542
3x = 542

Divide each side by '3'.
x = 180.6666667

Simplifying
x = 180.6666667

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