7(x-1)+2(3-x)=8

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Solution for 7(x-1)+2(3-x)=8 equation:


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

Reorder the terms:
7(-1 + x) + 2(3 + -1x) = 8
(-1 * 7 + x * 7) + 2(3 + -1x) = 8
(-7 + 7x) + 2(3 + -1x) = 8
-7 + 7x + (3 * 2 + -1x * 2) = 8
-7 + 7x + (6 + -2x) = 8

Reorder the terms:
-7 + 6 + 7x + -2x = 8

Combine like terms: -7 + 6 = -1
-1 + 7x + -2x = 8

Combine like terms: 7x + -2x = 5x
-1 + 5x = 8

Solving
-1 + 5x = 8

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 8 + 1
5x = 8 + 1

Combine like terms: 8 + 1 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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