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

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


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

Reorder the terms:
7(-2 + x) + -3 = 2(x + 2)
(-2 * 7 + x * 7) + -3 = 2(x + 2)
(-14 + 7x) + -3 = 2(x + 2)

Reorder the terms:
-14 + -3 + 7x = 2(x + 2)

Combine like terms: -14 + -3 = -17
-17 + 7x = 2(x + 2)

Reorder the terms:
-17 + 7x = 2(2 + x)
-17 + 7x = (2 * 2 + x * 2)
-17 + 7x = (4 + 2x)

Solving
-17 + 7x = 4 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-17 + 7x + -2x = 4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-17 + 5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 5x = 4 + 0
-17 + 5x = 4

Add '17' to each side of the equation.
-17 + 17 + 5x = 4 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 4 + 17
5x = 4 + 17

Combine like terms: 4 + 17 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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