7x-2=8+3(2-x)

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Solution for 7x-2=8+3(2-x) equation:


Simplifying
7x + -2 = 8 + 3(2 + -1x)

Reorder the terms:
-2 + 7x = 8 + 3(2 + -1x)
-2 + 7x = 8 + (2 * 3 + -1x * 3)
-2 + 7x = 8 + (6 + -3x)

Combine like terms: 8 + 6 = 14
-2 + 7x = 14 + -3x

Solving
-2 + 7x = 14 + -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.
-2 + 7x + 3x = 14 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-2 + 10x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 10x = 14 + 0
-2 + 10x = 14

Add '2' to each side of the equation.
-2 + 2 + 10x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 14 + 2
10x = 14 + 2

Combine like terms: 14 + 2 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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