3(x+14)=4(21-x)

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Solution for 3(x+14)=4(21-x) equation:


Simplifying
3(x + 14) = 4(21 + -1x)

Reorder the terms:
3(14 + x) = 4(21 + -1x)
(14 * 3 + x * 3) = 4(21 + -1x)
(42 + 3x) = 4(21 + -1x)
42 + 3x = (21 * 4 + -1x * 4)
42 + 3x = (84 + -4x)

Solving
42 + 3x = 84 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
42 + 3x + 4x = 84 + -4x + 4x

Combine like terms: 3x + 4x = 7x
42 + 7x = 84 + -4x + 4x

Combine like terms: -4x + 4x = 0
42 + 7x = 84 + 0
42 + 7x = 84

Add '-42' to each side of the equation.
42 + -42 + 7x = 84 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 84 + -42
7x = 84 + -42

Combine like terms: 84 + -42 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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