3x+63=7x-45

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Solution for 3x+63=7x-45 equation:


Simplifying
3x + 63 = 7x + -45

Reorder the terms:
63 + 3x = 7x + -45

Reorder the terms:
63 + 3x = -45 + 7x

Solving
63 + 3x = -45 + 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.
63 + 3x + -7x = -45 + 7x + -7x

Combine like terms: 3x + -7x = -4x
63 + -4x = -45 + 7x + -7x

Combine like terms: 7x + -7x = 0
63 + -4x = -45 + 0
63 + -4x = -45

Add '-63' to each side of the equation.
63 + -63 + -4x = -45 + -63

Combine like terms: 63 + -63 = 0
0 + -4x = -45 + -63
-4x = -45 + -63

Combine like terms: -45 + -63 = -108
-4x = -108

Divide each side by '-4'.
x = 27

Simplifying
x = 27

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