7(x+3)+3(4-x)=-8

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Solution for 7(x+3)+3(4-x)=-8 equation:


Simplifying
7(x + 3) + 3(4 + -1x) = -8

Reorder the terms:
7(3 + x) + 3(4 + -1x) = -8
(3 * 7 + x * 7) + 3(4 + -1x) = -8
(21 + 7x) + 3(4 + -1x) = -8
21 + 7x + (4 * 3 + -1x * 3) = -8
21 + 7x + (12 + -3x) = -8

Reorder the terms:
21 + 12 + 7x + -3x = -8

Combine like terms: 21 + 12 = 33
33 + 7x + -3x = -8

Combine like terms: 7x + -3x = 4x
33 + 4x = -8

Solving
33 + 4x = -8

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 4x = -8 + -33

Combine like terms: 33 + -33 = 0
0 + 4x = -8 + -33
4x = -8 + -33

Combine like terms: -8 + -33 = -41
4x = -41

Divide each side by '4'.
x = -10.25

Simplifying
x = -10.25

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