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

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


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

Reorder the terms:
3(-7 + x) = 5(x + 1)
(-7 * 3 + x * 3) = 5(x + 1)
(-21 + 3x) = 5(x + 1)

Reorder the terms:
-21 + 3x = 5(1 + x)
-21 + 3x = (1 * 5 + x * 5)
-21 + 3x = (5 + 5x)

Solving
-21 + 3x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 3x + -5x = 5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-21 + -2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + -2x = 5 + 0
-21 + -2x = 5

Add '21' to each side of the equation.
-21 + 21 + -2x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 5 + 21
-2x = 5 + 21

Combine like terms: 5 + 21 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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