3x-33=7x-53

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Solution for 3x-33=7x-53 equation:


Simplifying
3x + -33 = 7x + -53

Reorder the terms:
-33 + 3x = 7x + -53

Reorder the terms:
-33 + 3x = -53 + 7x

Solving
-33 + 3x = -53 + 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.
-33 + 3x + -7x = -53 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-33 + -4x = -53 + 7x + -7x

Combine like terms: 7x + -7x = 0
-33 + -4x = -53 + 0
-33 + -4x = -53

Add '33' to each side of the equation.
-33 + 33 + -4x = -53 + 33

Combine like terms: -33 + 33 = 0
0 + -4x = -53 + 33
-4x = -53 + 33

Combine like terms: -53 + 33 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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