6(x-5)=3(10+3x)

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Solution for 6(x-5)=3(10+3x) equation:


Simplifying
6(x + -5) = 3(10 + 3x)

Reorder the terms:
6(-5 + x) = 3(10 + 3x)
(-5 * 6 + x * 6) = 3(10 + 3x)
(-30 + 6x) = 3(10 + 3x)
-30 + 6x = (10 * 3 + 3x * 3)
-30 + 6x = (30 + 9x)

Solving
-30 + 6x = 30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-30 + 6x + -9x = 30 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-30 + -3x = 30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-30 + -3x = 30 + 0
-30 + -3x = 30

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

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

Combine like terms: 30 + 30 = 60
-3x = 60

Divide each side by '-3'.
x = -20

Simplifying
x = -20

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