x-5(x+6)=3x

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


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

Reorder the terms:
x + -5(6 + x) = 3x
x + (6 * -5 + x * -5) = 3x
x + (-30 + -5x) = 3x

Reorder the terms:
-30 + x + -5x = 3x

Combine like terms: x + -5x = -4x
-30 + -4x = 3x

Solving
-30 + -4x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-30 + -4x + -3x = 3x + -3x

Combine like terms: -4x + -3x = -7x
-30 + -7x = 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + -7x = 0

Add '30' to each side of the equation.
-30 + 30 + -7x = 0 + 30

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

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

Divide each side by '-7'.
x = -4.285714286

Simplifying
x = -4.285714286

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