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

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


Simplifying
7(3 + -1x) = 2 + -3(8 + -1x)
(3 * 7 + -1x * 7) = 2 + -3(8 + -1x)
(21 + -7x) = 2 + -3(8 + -1x)
21 + -7x = 2 + (8 * -3 + -1x * -3)
21 + -7x = 2 + (-24 + 3x)

Combine like terms: 2 + -24 = -22
21 + -7x = -22 + 3x

Solving
21 + -7x = -22 + 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.
21 + -7x + -3x = -22 + 3x + -3x

Combine like terms: -7x + -3x = -10x
21 + -10x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -10x = -22 + 0
21 + -10x = -22

Add '-21' to each side of the equation.
21 + -21 + -10x = -22 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -22 + -21
-10x = -22 + -21

Combine like terms: -22 + -21 = -43
-10x = -43

Divide each side by '-10'.
x = 4.3

Simplifying
x = 4.3

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