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

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


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

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

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

Solving
84 + 4x = 42 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
84 + 7x = 42 + 0
84 + 7x = 42

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

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

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

Divide each side by '7'.
x = -6

Simplifying
x = -6

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