4x-9=3x+52

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Solution for 4x-9=3x+52 equation:


Simplifying
4x + -9 = 3x + 52

Reorder the terms:
-9 + 4x = 3x + 52

Reorder the terms:
-9 + 4x = 52 + 3x

Solving
-9 + 4x = 52 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 4x + -3x = 52 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-9 + 1x = 52 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 1x = 52 + 0
-9 + 1x = 52

Add '9' to each side of the equation.
-9 + 9 + 1x = 52 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 52 + 9
1x = 52 + 9

Combine like terms: 52 + 9 = 61
1x = 61

Divide each side by '1'.
x = 61

Simplifying
x = 61

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