3-2(x+4)=5(x-6)

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Solution for 3-2(x+4)=5(x-6) equation:


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

Reorder the terms:
3 + -2(4 + x) = 5(x + -6)
3 + (4 * -2 + x * -2) = 5(x + -6)
3 + (-8 + -2x) = 5(x + -6)

Combine like terms: 3 + -8 = -5
-5 + -2x = 5(x + -6)

Reorder the terms:
-5 + -2x = 5(-6 + x)
-5 + -2x = (-6 * 5 + x * 5)
-5 + -2x = (-30 + 5x)

Solving
-5 + -2x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + -2x + -5x = -30 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-5 + -7x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -7x = -30 + 0
-5 + -7x = -30

Add '5' to each side of the equation.
-5 + 5 + -7x = -30 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -30 + 5
-7x = -30 + 5

Combine like terms: -30 + 5 = -25
-7x = -25

Divide each side by '-7'.
x = 3.571428571

Simplifying
x = 3.571428571

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