3(x+21)=-4(x-7)

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Solution for 3(x+21)=-4(x-7) equation:


Simplifying
3(x + 21) = -4(x + -7)

Reorder the terms:
3(21 + x) = -4(x + -7)
(21 * 3 + x * 3) = -4(x + -7)
(63 + 3x) = -4(x + -7)

Reorder the terms:
63 + 3x = -4(-7 + x)
63 + 3x = (-7 * -4 + x * -4)
63 + 3x = (28 + -4x)

Solving
63 + 3x = 28 + -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 = 28 + -4x + 4x

Combine like terms: 3x + 4x = 7x
63 + 7x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
63 + 7x = 28 + 0
63 + 7x = 28

Add '-63' to each side of the equation.
63 + -63 + 7x = 28 + -63

Combine like terms: 63 + -63 = 0
0 + 7x = 28 + -63
7x = 28 + -63

Combine like terms: 28 + -63 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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