5(x-3)=-2(7-11x)

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Solution for 5(x-3)=-2(7-11x) equation:


Simplifying
5(x + -3) = -2(7 + -11x)

Reorder the terms:
5(-3 + x) = -2(7 + -11x)
(-3 * 5 + x * 5) = -2(7 + -11x)
(-15 + 5x) = -2(7 + -11x)
-15 + 5x = (7 * -2 + -11x * -2)
-15 + 5x = (-14 + 22x)

Solving
-15 + 5x = -14 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-15 + 5x + -22x = -14 + 22x + -22x

Combine like terms: 5x + -22x = -17x
-15 + -17x = -14 + 22x + -22x

Combine like terms: 22x + -22x = 0
-15 + -17x = -14 + 0
-15 + -17x = -14

Add '15' to each side of the equation.
-15 + 15 + -17x = -14 + 15

Combine like terms: -15 + 15 = 0
0 + -17x = -14 + 15
-17x = -14 + 15

Combine like terms: -14 + 15 = 1
-17x = 1

Divide each side by '-17'.
x = -0.05882352941

Simplifying
x = -0.05882352941

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