3(2x-1)=-10(x-5)

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Solution for 3(2x-1)=-10(x-5) equation:


Simplifying
3(2x + -1) = -10(x + -5)

Reorder the terms:
3(-1 + 2x) = -10(x + -5)
(-1 * 3 + 2x * 3) = -10(x + -5)
(-3 + 6x) = -10(x + -5)

Reorder the terms:
-3 + 6x = -10(-5 + x)
-3 + 6x = (-5 * -10 + x * -10)
-3 + 6x = (50 + -10x)

Solving
-3 + 6x = 50 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-3 + 6x + 10x = 50 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-3 + 16x = 50 + -10x + 10x

Combine like terms: -10x + 10x = 0
-3 + 16x = 50 + 0
-3 + 16x = 50

Add '3' to each side of the equation.
-3 + 3 + 16x = 50 + 3

Combine like terms: -3 + 3 = 0
0 + 16x = 50 + 3
16x = 50 + 3

Combine like terms: 50 + 3 = 53
16x = 53

Divide each side by '16'.
x = 3.3125

Simplifying
x = 3.3125

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