(3x+50)=(7x-10)

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Solution for (3x+50)=(7x-10) equation:


Simplifying
(3x + 50) = (7x + -10)

Reorder the terms:
(50 + 3x) = (7x + -10)

Remove parenthesis around (50 + 3x)
50 + 3x = (7x + -10)

Reorder the terms:
50 + 3x = (-10 + 7x)

Remove parenthesis around (-10 + 7x)
50 + 3x = -10 + 7x

Solving
50 + 3x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
50 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
50 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
50 + -4x = -10 + 0
50 + -4x = -10

Add '-50' to each side of the equation.
50 + -50 + -4x = -10 + -50

Combine like terms: 50 + -50 = 0
0 + -4x = -10 + -50
-4x = -10 + -50

Combine like terms: -10 + -50 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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