3(x+1)-5(x-7)=0

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Solution for 3(x+1)-5(x-7)=0 equation:


Simplifying
3(x + 1) + -5(x + -7) = 0

Reorder the terms:
3(1 + x) + -5(x + -7) = 0
(1 * 3 + x * 3) + -5(x + -7) = 0
(3 + 3x) + -5(x + -7) = 0

Reorder the terms:
3 + 3x + -5(-7 + x) = 0
3 + 3x + (-7 * -5 + x * -5) = 0
3 + 3x + (35 + -5x) = 0

Reorder the terms:
3 + 35 + 3x + -5x = 0

Combine like terms: 3 + 35 = 38
38 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
38 + -2x = 0

Solving
38 + -2x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + -2x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -2x = 0 + -38
-2x = 0 + -38

Combine like terms: 0 + -38 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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