3(2-x)-5(3x+2)=-13+4

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Solution for 3(2-x)-5(3x+2)=-13+4 equation:


Simplifying
3(2 + -1x) + -5(3x + 2) = -13 + 4
(2 * 3 + -1x * 3) + -5(3x + 2) = -13 + 4
(6 + -3x) + -5(3x + 2) = -13 + 4

Reorder the terms:
6 + -3x + -5(2 + 3x) = -13 + 4
6 + -3x + (2 * -5 + 3x * -5) = -13 + 4
6 + -3x + (-10 + -15x) = -13 + 4

Reorder the terms:
6 + -10 + -3x + -15x = -13 + 4

Combine like terms: 6 + -10 = -4
-4 + -3x + -15x = -13 + 4

Combine like terms: -3x + -15x = -18x
-4 + -18x = -13 + 4

Combine like terms: -13 + 4 = -9
-4 + -18x = -9

Solving
-4 + -18x = -9

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -18x = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -18x = -9 + 4
-18x = -9 + 4

Combine like terms: -9 + 4 = -5
-18x = -5

Divide each side by '-18'.
x = 0.2777777778

Simplifying
x = 0.2777777778

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