7x-3=3x-45

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


Simplifying
7x + -3 = 3x + -45

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

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

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

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

Combine like terms: 3x + -3x = 0
-3 + 4x = -45 + 0
-3 + 4x = -45

Add '3' to each side of the equation.
-3 + 3 + 4x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -45 + 3
4x = -45 + 3

Combine like terms: -45 + 3 = -42
4x = -42

Divide each side by '4'.
x = -10.5

Simplifying
x = -10.5

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