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

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


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

Reorder the terms:
3(-5 + x) = 6x + -2(x + 5)
(-5 * 3 + x * 3) = 6x + -2(x + 5)
(-15 + 3x) = 6x + -2(x + 5)

Reorder the terms:
-15 + 3x = 6x + -2(5 + x)
-15 + 3x = 6x + (5 * -2 + x * -2)
-15 + 3x = 6x + (-10 + -2x)

Reorder the terms:
-15 + 3x = -10 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-15 + 3x = -10 + 4x

Solving
-15 + 3x = -10 + 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.
-15 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-15 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -1x = -10 + 0
-15 + -1x = -10

Add '15' to each side of the equation.
-15 + 15 + -1x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -10 + 15
-1x = -10 + 15

Combine like terms: -10 + 15 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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