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

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


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

Reorder the terms:
4(14 + x) = -3(x + -21)
(14 * 4 + x * 4) = -3(x + -21)
(56 + 4x) = -3(x + -21)

Reorder the terms:
56 + 4x = -3(-21 + x)
56 + 4x = (-21 * -3 + x * -3)
56 + 4x = (63 + -3x)

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

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

Combine like terms: -3x + 3x = 0
56 + 7x = 63 + 0
56 + 7x = 63

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

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

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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