5(2x)+3(x+6)=10-4(6+2x)

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Solution for 5(2x)+3(x+6)=10-4(6+2x) equation:


Simplifying
5(2x) + 3(x + 6) = 10 + -4(6 + 2x)

Remove parenthesis around (2x)
5 * 2x + 3(x + 6) = 10 + -4(6 + 2x)

Multiply 5 * 2
10x + 3(x + 6) = 10 + -4(6 + 2x)

Reorder the terms:
10x + 3(6 + x) = 10 + -4(6 + 2x)
10x + (6 * 3 + x * 3) = 10 + -4(6 + 2x)
10x + (18 + 3x) = 10 + -4(6 + 2x)

Reorder the terms:
18 + 10x + 3x = 10 + -4(6 + 2x)

Combine like terms: 10x + 3x = 13x
18 + 13x = 10 + -4(6 + 2x)
18 + 13x = 10 + (6 * -4 + 2x * -4)
18 + 13x = 10 + (-24 + -8x)

Combine like terms: 10 + -24 = -14
18 + 13x = -14 + -8x

Solving
18 + 13x = -14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
18 + 13x + 8x = -14 + -8x + 8x

Combine like terms: 13x + 8x = 21x
18 + 21x = -14 + -8x + 8x

Combine like terms: -8x + 8x = 0
18 + 21x = -14 + 0
18 + 21x = -14

Add '-18' to each side of the equation.
18 + -18 + 21x = -14 + -18

Combine like terms: 18 + -18 = 0
0 + 21x = -14 + -18
21x = -14 + -18

Combine like terms: -14 + -18 = -32
21x = -32

Divide each side by '21'.
x = -1.523809524

Simplifying
x = -1.523809524

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