10x+90=14x+84

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Solution for 10x+90=14x+84 equation:


Simplifying
10x + 90 = 14x + 84

Reorder the terms:
90 + 10x = 14x + 84

Reorder the terms:
90 + 10x = 84 + 14x

Solving
90 + 10x = 84 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
90 + 10x + -14x = 84 + 14x + -14x

Combine like terms: 10x + -14x = -4x
90 + -4x = 84 + 14x + -14x

Combine like terms: 14x + -14x = 0
90 + -4x = 84 + 0
90 + -4x = 84

Add '-90' to each side of the equation.
90 + -90 + -4x = 84 + -90

Combine like terms: 90 + -90 = 0
0 + -4x = 84 + -90
-4x = 84 + -90

Combine like terms: 84 + -90 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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