3x+90=7x+138

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Solution for 3x+90=7x+138 equation:


Simplifying
3x + 90 = 7x + 138

Reorder the terms:
90 + 3x = 7x + 138

Reorder the terms:
90 + 3x = 138 + 7x

Solving
90 + 3x = 138 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
90 + 3x + -7x = 138 + 7x + -7x

Combine like terms: 3x + -7x = -4x
90 + -4x = 138 + 7x + -7x

Combine like terms: 7x + -7x = 0
90 + -4x = 138 + 0
90 + -4x = 138

Add '-90' to each side of the equation.
90 + -90 + -4x = 138 + -90

Combine like terms: 90 + -90 = 0
0 + -4x = 138 + -90
-4x = 138 + -90

Combine like terms: 138 + -90 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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