7(x-2)-3x=10-x

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Solution for 7(x-2)-3x=10-x equation:


Simplifying
7(x + -2) + -3x = 10 + -1x

Reorder the terms:
7(-2 + x) + -3x = 10 + -1x
(-2 * 7 + x * 7) + -3x = 10 + -1x
(-14 + 7x) + -3x = 10 + -1x

Combine like terms: 7x + -3x = 4x
-14 + 4x = 10 + -1x

Solving
-14 + 4x = 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.
-14 + 4x + x = 10 + -1x + x

Combine like terms: 4x + x = 5x
-14 + 5x = 10 + -1x + x

Combine like terms: -1x + x = 0
-14 + 5x = 10 + 0
-14 + 5x = 10

Add '14' to each side of the equation.
-14 + 14 + 5x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 10 + 14
5x = 10 + 14

Combine like terms: 10 + 14 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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