x+6(4)=x(2)+3x+5(2)

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Solution for x+6(4)=x(2)+3x+5(2) equation:


Simplifying
x + 6(4) = x(2) + 3x + 5(2)

Multiply 6 * 4
x + 24 = x(2) + 3x + 5(2)

Reorder the terms:
24 + x = x(2) + 3x + 5(2)

Reorder the terms for easier multiplication:
24 + x = 2x + 3x + 5(2)

Multiply 5 * 2
24 + x = 2x + 3x + 10

Reorder the terms:
24 + x = 10 + 2x + 3x

Combine like terms: 2x + 3x = 5x
24 + x = 10 + 5x

Solving
24 + x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + x + -5x = 10 + 5x + -5x

Combine like terms: x + -5x = -4x
24 + -4x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -4x = 10 + 0
24 + -4x = 10

Add '-24' to each side of the equation.
24 + -24 + -4x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 10 + -24
-4x = 10 + -24

Combine like terms: 10 + -24 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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