5(x-5)-(3+7x)=-3x

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


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

Reorder the terms:
5(-5 + x) + -1(3 + 7x) = -3x
(-5 * 5 + x * 5) + -1(3 + 7x) = -3x
(-25 + 5x) + -1(3 + 7x) = -3x
-25 + 5x + (3 * -1 + 7x * -1) = -3x
-25 + 5x + (-3 + -7x) = -3x

Reorder the terms:
-25 + -3 + 5x + -7x = -3x

Combine like terms: -25 + -3 = -28
-28 + 5x + -7x = -3x

Combine like terms: 5x + -7x = -2x
-28 + -2x = -3x

Solving
-28 + -2x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-28 + -2x + 3x = -3x + 3x

Combine like terms: -2x + 3x = 1x
-28 + 1x = -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 1x = 0

Add '28' to each side of the equation.
-28 + 28 + 1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = 0 + 28
1x = 0 + 28

Combine like terms: 0 + 28 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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