7(x-3)=10-x

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Solution for 7(x-3)=10-x equation:


Simplifying
7(x + -3) = 10 + -1x

Reorder the terms:
7(-3 + x) = 10 + -1x
(-3 * 7 + x * 7) = 10 + -1x
(-21 + 7x) = 10 + -1x

Solving
-21 + 7x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 7x + x = 10 + -1x + x

Combine like terms: 7x + x = 8x
-21 + 8x = 10 + -1x + x

Combine like terms: -1x + x = 0
-21 + 8x = 10 + 0
-21 + 8x = 10

Add '21' to each side of the equation.
-21 + 21 + 8x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 10 + 21
8x = 10 + 21

Combine like terms: 10 + 21 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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