3(x)+7=5(x)-21

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Solution for 3(x)+7=5(x)-21 equation:


Simplifying
3(x) + 7 = 5(x) + -21

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

Reorder the terms:
7 + 3x = -21 + 5x

Solving
7 + 3x = -21 + 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.
7 + 3x + -5x = -21 + 5x + -5x

Combine like terms: 3x + -5x = -2x
7 + -2x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -2x = -21 + 0
7 + -2x = -21

Add '-7' to each side of the equation.
7 + -7 + -2x = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -21 + -7
-2x = -21 + -7

Combine like terms: -21 + -7 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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