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

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Solution for 2(x-1)+7(3-x)=10 equation: 


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

Reorder the terms:
2(-1 + x) + 7(3 + -1x) = 10
(-1 * 2 + x * 2) + 7(3 + -1x) = 10
(-2 + 2x) + 7(3 + -1x) = 10
-2 + 2x + (3 * 7 + -1x * 7) = 10
-2 + 2x + (21 + -7x) = 10

Reorder the terms:
-2 + 21 + 2x + -7x = 10

Combine like terms: -2 + 21 = 19
19 + 2x + -7x = 10

Combine like terms: 2x + -7x = -5x
19 + -5x = 10

Solving
19 + -5x = 10

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -5x = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 10 + -19
-5x = 10 + -19

Combine like terms: 10 + -19 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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