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

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


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

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

Multiply 5 * -2
-10(-3 + x) = 6(x + -2)
(-3 * -10 + x * -10) = 6(x + -2)
(30 + -10x) = 6(x + -2)

Reorder the terms:
30 + -10x = 6(-2 + x)
30 + -10x = (-2 * 6 + x * 6)
30 + -10x = (-12 + 6x)

Solving
30 + -10x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
30 + -10x + -6x = -12 + 6x + -6x

Combine like terms: -10x + -6x = -16x
30 + -16x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -16x = -12 + 0
30 + -16x = -12

Add '-30' to each side of the equation.
30 + -30 + -16x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -16x = -12 + -30
-16x = -12 + -30

Combine like terms: -12 + -30 = -42
-16x = -42

Divide each side by '-16'.
x = 2.625

Simplifying
x = 2.625

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