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

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


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

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

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

Solving
-2 + 7x = 6 + -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 = 6 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-2 + 10x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 10x = 6 + 0
-2 + 10x = 6

Add '2' to each side of the equation.
-2 + 2 + 10x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 6 + 2
10x = 6 + 2

Combine like terms: 6 + 2 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8

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