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

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


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

Reorder the terms:
3(21 + x) = -4(x + -14)
(21 * 3 + x * 3) = -4(x + -14)
(63 + 3x) = -4(x + -14)

Reorder the terms:
63 + 3x = -4(-14 + x)
63 + 3x = (-14 * -4 + x * -4)
63 + 3x = (56 + -4x)

Solving
63 + 3x = 56 + -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.
63 + 3x + 4x = 56 + -4x + 4x

Combine like terms: 3x + 4x = 7x
63 + 7x = 56 + -4x + 4x

Combine like terms: -4x + 4x = 0
63 + 7x = 56 + 0
63 + 7x = 56

Add '-63' to each side of the equation.
63 + -63 + 7x = 56 + -63

Combine like terms: 63 + -63 = 0
0 + 7x = 56 + -63
7x = 56 + -63

Combine like terms: 56 + -63 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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