6x+10=4x+84

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Solution for 6x+10=4x+84 equation:


Simplifying
6x + 10 = 4x + 84

Reorder the terms:
10 + 6x = 4x + 84

Reorder the terms:
10 + 6x = 84 + 4x

Solving
10 + 6x = 84 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 6x + -4x = 84 + 4x + -4x

Combine like terms: 6x + -4x = 2x
10 + 2x = 84 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 2x = 84 + 0
10 + 2x = 84

Add '-10' to each side of the equation.
10 + -10 + 2x = 84 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 84 + -10
2x = 84 + -10

Combine like terms: 84 + -10 = 74
2x = 74

Divide each side by '2'.
x = 37

Simplifying
x = 37

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