2x+84=7x-48

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Solution for 2x+84=7x-48 equation:


Simplifying
2x + 84 = 7x + -48

Reorder the terms:
84 + 2x = 7x + -48

Reorder the terms:
84 + 2x = -48 + 7x

Solving
84 + 2x = -48 + 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.
84 + 2x + -7x = -48 + 7x + -7x

Combine like terms: 2x + -7x = -5x
84 + -5x = -48 + 7x + -7x

Combine like terms: 7x + -7x = 0
84 + -5x = -48 + 0
84 + -5x = -48

Add '-84' to each side of the equation.
84 + -84 + -5x = -48 + -84

Combine like terms: 84 + -84 = 0
0 + -5x = -48 + -84
-5x = -48 + -84

Combine like terms: -48 + -84 = -132
-5x = -132

Divide each side by '-5'.
x = 26.4

Simplifying
x = 26.4

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