4(x+21)-3(-x+7)=-28

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Solution for 4(x+21)-3(-x+7)=-28 equation:


Simplifying
4(x + 21) + -3(-1x + 7) = -28

Reorder the terms:
4(21 + x) + -3(-1x + 7) = -28
(21 * 4 + x * 4) + -3(-1x + 7) = -28
(84 + 4x) + -3(-1x + 7) = -28

Reorder the terms:
84 + 4x + -3(7 + -1x) = -28
84 + 4x + (7 * -3 + -1x * -3) = -28
84 + 4x + (-21 + 3x) = -28

Reorder the terms:
84 + -21 + 4x + 3x = -28

Combine like terms: 84 + -21 = 63
63 + 4x + 3x = -28

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

Solving
63 + 7x = -28

Solving for variable 'x'.

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

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 = -91
7x = -91

Divide each side by '7'.
x = -13

Simplifying
x = -13

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