5(3+x)-1(8x+9)=-4x

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Solution for 5(3+x)-1(8x+9)=-4x equation:


Simplifying
5(3 + x) + -1(8x + 9) = -4x
(3 * 5 + x * 5) + -1(8x + 9) = -4x
(15 + 5x) + -1(8x + 9) = -4x

Reorder the terms:
15 + 5x + -1(9 + 8x) = -4x
15 + 5x + (9 * -1 + 8x * -1) = -4x
15 + 5x + (-9 + -8x) = -4x

Reorder the terms:
15 + -9 + 5x + -8x = -4x

Combine like terms: 15 + -9 = 6
6 + 5x + -8x = -4x

Combine like terms: 5x + -8x = -3x
6 + -3x = -4x

Solving
6 + -3x = -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.
6 + -3x + 4x = -4x + 4x

Combine like terms: -3x + 4x = 1x
6 + 1x = -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 1x = 0

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6

Combine like terms: 0 + -6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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