10x+3(8+x)=-6(x-4)

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Solution for 10x+3(8+x)=-6(x-4) equation:


Simplifying
10x + 3(8 + x) = -6(x + -4)
10x + (8 * 3 + x * 3) = -6(x + -4)
10x + (24 + 3x) = -6(x + -4)

Reorder the terms:
24 + 10x + 3x = -6(x + -4)

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

Reorder the terms:
24 + 13x = -6(-4 + x)
24 + 13x = (-4 * -6 + x * -6)
24 + 13x = (24 + -6x)

Add '-24' to each side of the equation.
24 + -24 + 13x = 24 + -24 + -6x

Combine like terms: 24 + -24 = 0
0 + 13x = 24 + -24 + -6x
13x = 24 + -24 + -6x

Combine like terms: 24 + -24 = 0
13x = 0 + -6x
13x = -6x

Solving
13x = -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.
13x + 6x = -6x + 6x

Combine like terms: 13x + 6x = 19x
19x = -6x + 6x

Combine like terms: -6x + 6x = 0
19x = 0

Divide each side by '19'.
x = 0

Simplifying
x = 0

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