3(5-2x)=-2(6-3)-10x

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Solution for 3(5-2x)=-2(6-3)-10x equation:


Simplifying
3(5 + -2x) = -2(6 + -3) + -10x
(5 * 3 + -2x * 3) = -2(6 + -3) + -10x
(15 + -6x) = -2(6 + -3) + -10x

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

Multiply -2 * 3
15 + -6x = -6 + -10x

Solving
15 + -6x = -6 + -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.
15 + -6x + 10x = -6 + -10x + 10x

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

Combine like terms: -10x + 10x = 0
15 + 4x = -6 + 0
15 + 4x = -6

Add '-15' to each side of the equation.
15 + -15 + 4x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = -6 + -15
4x = -6 + -15

Combine like terms: -6 + -15 = -21
4x = -21

Divide each side by '4'.
x = -5.25

Simplifying
x = -5.25

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