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

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


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

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

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