5(x-7)-2(3-x)=28

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Solution for 5(x-7)-2(3-x)=28 equation:


Simplifying
5(x + -7) + -2(3 + -1x) = 28

Reorder the terms:
5(-7 + x) + -2(3 + -1x) = 28
(-7 * 5 + x * 5) + -2(3 + -1x) = 28
(-35 + 5x) + -2(3 + -1x) = 28
-35 + 5x + (3 * -2 + -1x * -2) = 28
-35 + 5x + (-6 + 2x) = 28

Reorder the terms:
-35 + -6 + 5x + 2x = 28

Combine like terms: -35 + -6 = -41
-41 + 5x + 2x = 28

Combine like terms: 5x + 2x = 7x
-41 + 7x = 28

Solving
-41 + 7x = 28

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 7x = 28 + 41

Combine like terms: -41 + 41 = 0
0 + 7x = 28 + 41
7x = 28 + 41

Combine like terms: 28 + 41 = 69
7x = 69

Divide each side by '7'.
x = 9.857142857

Simplifying
x = 9.857142857

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