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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