3x-5=5(x+7)

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


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

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

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

Solving
-5 + 3x = 35 + 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.
-5 + 3x + -5x = 35 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-5 + -2x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x = 35 + 0
-5 + -2x = 35

Add '5' to each side of the equation.
-5 + 5 + -2x = 35 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 35 + 5
-2x = 35 + 5

Combine like terms: 35 + 5 = 40
-2x = 40

Divide each side by '-2'.
x = -20

Simplifying
x = -20

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