-7(x-3)=x+2

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


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

Reorder the terms:
-7(-3 + x) = x + 2
(-3 * -7 + x * -7) = x + 2
(21 + -7x) = x + 2

Reorder the terms:
21 + -7x = 2 + x

Solving
21 + -7x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
21 + -7x + -1x = 2 + x + -1x

Combine like terms: -7x + -1x = -8x
21 + -8x = 2 + x + -1x

Combine like terms: x + -1x = 0
21 + -8x = 2 + 0
21 + -8x = 2

Add '-21' to each side of the equation.
21 + -21 + -8x = 2 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = 2 + -21
-8x = 2 + -21

Combine like terms: 2 + -21 = -19
-8x = -19

Divide each side by '-8'.
x = 2.375

Simplifying
x = 2.375

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