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

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


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

Reorder the terms:
3x + -6(-2 + x) = 4(x + 5)
3x + (-2 * -6 + x * -6) = 4(x + 5)
3x + (12 + -6x) = 4(x + 5)

Reorder the terms:
12 + 3x + -6x = 4(x + 5)

Combine like terms: 3x + -6x = -3x
12 + -3x = 4(x + 5)

Reorder the terms:
12 + -3x = 4(5 + x)
12 + -3x = (5 * 4 + x * 4)
12 + -3x = (20 + 4x)

Solving
12 + -3x = 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.
12 + -3x + -4x = 20 + 4x + -4x

Combine like terms: -3x + -4x = -7x
12 + -7x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -7x = 20 + 0
12 + -7x = 20

Add '-12' to each side of the equation.
12 + -12 + -7x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 20 + -12
-7x = 20 + -12

Combine like terms: 20 + -12 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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