6(2)+4-12(2)x=-10x(2)+18x(2)-3

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Solution for 6(2)+4-12(2)x=-10x(2)+18x(2)-3 equation:


Simplifying
6(2) + 4 + -12(2) * x = -10x(2) + 18x(2) + -3

Multiply 6 * 2
12 + 4 + -12(2) * x = -10x(2) + 18x(2) + -3

Multiply -12 * 2
12 + 4 + -24x = -10x(2) + 18x(2) + -3

Combine like terms: 12 + 4 = 16
16 + -24x = -10x(2) + 18x(2) + -3

Reorder the terms for easier multiplication:
16 + -24x = -10 * 2x + 18x(2) + -3

Multiply -10 * 2
16 + -24x = -20x + 18x(2) + -3

Reorder the terms for easier multiplication:
16 + -24x = -20x + 18 * 2x + -3

Multiply 18 * 2
16 + -24x = -20x + 36x + -3

Reorder the terms:
16 + -24x = -3 + -20x + 36x

Combine like terms: -20x + 36x = 16x
16 + -24x = -3 + 16x

Solving
16 + -24x = -3 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
16 + -24x + -16x = -3 + 16x + -16x

Combine like terms: -24x + -16x = -40x
16 + -40x = -3 + 16x + -16x

Combine like terms: 16x + -16x = 0
16 + -40x = -3 + 0
16 + -40x = -3

Add '-16' to each side of the equation.
16 + -16 + -40x = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -40x = -3 + -16
-40x = -3 + -16

Combine like terms: -3 + -16 = -19
-40x = -19

Divide each side by '-40'.
x = 0.475

Simplifying
x = 0.475

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