9x-62=28x+52

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Solution for 9x-62=28x+52 equation:


Simplifying
9x + -62 = 28x + 52

Reorder the terms:
-62 + 9x = 28x + 52

Reorder the terms:
-62 + 9x = 52 + 28x

Solving
-62 + 9x = 52 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-62 + 9x + -28x = 52 + 28x + -28x

Combine like terms: 9x + -28x = -19x
-62 + -19x = 52 + 28x + -28x

Combine like terms: 28x + -28x = 0
-62 + -19x = 52 + 0
-62 + -19x = 52

Add '62' to each side of the equation.
-62 + 62 + -19x = 52 + 62

Combine like terms: -62 + 62 = 0
0 + -19x = 52 + 62
-19x = 52 + 62

Combine like terms: 52 + 62 = 114
-19x = 114

Divide each side by '-19'.
x = -6

Simplifying
x = -6

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