5(x-3)=3x+7

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Solution for 5(x-3)=3x+7 equation:


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

Reorder the terms:
5(-3 + x) = 3x + 7
(-3 * 5 + x * 5) = 3x + 7
(-15 + 5x) = 3x + 7

Reorder the terms:
-15 + 5x = 7 + 3x

Solving
-15 + 5x = 7 + 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.
-15 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-15 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 2x = 7 + 0
-15 + 2x = 7

Add '15' to each side of the equation.
-15 + 15 + 2x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 7 + 15
2x = 7 + 15

Combine like terms: 7 + 15 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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