5(2x-2)+3=3(x+7)

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Solution for 5(2x-2)+3=3(x+7) equation:


Simplifying
5(2x + -2) + 3 = 3(x + 7)

Reorder the terms:
5(-2 + 2x) + 3 = 3(x + 7)
(-2 * 5 + 2x * 5) + 3 = 3(x + 7)
(-10 + 10x) + 3 = 3(x + 7)

Reorder the terms:
-10 + 3 + 10x = 3(x + 7)

Combine like terms: -10 + 3 = -7
-7 + 10x = 3(x + 7)

Reorder the terms:
-7 + 10x = 3(7 + x)
-7 + 10x = (7 * 3 + x * 3)
-7 + 10x = (21 + 3x)

Solving
-7 + 10x = 21 + 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.
-7 + 10x + -3x = 21 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-7 + 7x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 7x = 21 + 0
-7 + 7x = 21

Add '7' to each side of the equation.
-7 + 7 + 7x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 21 + 7
7x = 21 + 7

Combine like terms: 21 + 7 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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