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

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


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

Reorder the terms:
-6 + 5x + 2x = -4(x + 5)

Combine like terms: 5x + 2x = 7x
-6 + 7x = -4(x + 5)

Reorder the terms:
-6 + 7x = -4(5 + x)
-6 + 7x = (5 * -4 + x * -4)
-6 + 7x = (-20 + -4x)

Solving
-6 + 7x = -20 + -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 + 7x + 4x = -20 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-6 + 11x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 11x = -20 + 0
-6 + 11x = -20

Add '6' to each side of the equation.
-6 + 6 + 11x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = -20 + 6
11x = -20 + 6

Combine like terms: -20 + 6 = -14
11x = -14

Divide each side by '11'.
x = -1.272727273

Simplifying
x = -1.272727273

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