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

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


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

Reorder the terms:
x + -3(-6 + 5x) = 3 + -10x
x + (-6 * -3 + 5x * -3) = 3 + -10x
x + (18 + -15x) = 3 + -10x

Reorder the terms:
18 + x + -15x = 3 + -10x

Combine like terms: x + -15x = -14x
18 + -14x = 3 + -10x

Solving
18 + -14x = 3 + -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.
18 + -14x + 10x = 3 + -10x + 10x

Combine like terms: -14x + 10x = -4x
18 + -4x = 3 + -10x + 10x

Combine like terms: -10x + 10x = 0
18 + -4x = 3 + 0
18 + -4x = 3

Add '-18' to each side of the equation.
18 + -18 + -4x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 3 + -18
-4x = 3 + -18

Combine like terms: 3 + -18 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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