7(x-3)-3=3x+18

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Solution for 7(x-3)-3=3x+18 equation:


Simplifying
7(x + -3) + -3 = 3x + 18

Reorder the terms:
7(-3 + x) + -3 = 3x + 18
(-3 * 7 + x * 7) + -3 = 3x + 18
(-21 + 7x) + -3 = 3x + 18

Reorder the terms:
-21 + -3 + 7x = 3x + 18

Combine like terms: -21 + -3 = -24
-24 + 7x = 3x + 18

Reorder the terms:
-24 + 7x = 18 + 3x

Solving
-24 + 7x = 18 + 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.
-24 + 7x + -3x = 18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-24 + 4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 4x = 18 + 0
-24 + 4x = 18

Add '24' to each side of the equation.
-24 + 24 + 4x = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 18 + 24
4x = 18 + 24

Combine like terms: 18 + 24 = 42
4x = 42

Divide each side by '4'.
x = 10.5

Simplifying
x = 10.5

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