5(x+14)=-3x-33

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Solution for 5(x+14)=-3x-33 equation:


Simplifying
5(x + 14) = -3x + -33

Reorder the terms:
5(14 + x) = -3x + -33
(14 * 5 + x * 5) = -3x + -33
(70 + 5x) = -3x + -33

Reorder the terms:
70 + 5x = -33 + -3x

Solving
70 + 5x = -33 + -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.
70 + 5x + 3x = -33 + -3x + 3x

Combine like terms: 5x + 3x = 8x
70 + 8x = -33 + -3x + 3x

Combine like terms: -3x + 3x = 0
70 + 8x = -33 + 0
70 + 8x = -33

Add '-70' to each side of the equation.
70 + -70 + 8x = -33 + -70

Combine like terms: 70 + -70 = 0
0 + 8x = -33 + -70
8x = -33 + -70

Combine like terms: -33 + -70 = -103
8x = -103

Divide each side by '8'.
x = -12.875

Simplifying
x = -12.875

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