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

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


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

Reorder the terms:
3(-4 + x) + 10 = -8x + -6 + x
(-4 * 3 + x * 3) + 10 = -8x + -6 + x
(-12 + 3x) + 10 = -8x + -6 + x

Reorder the terms:
-12 + 10 + 3x = -8x + -6 + x

Combine like terms: -12 + 10 = -2
-2 + 3x = -8x + -6 + x

Reorder the terms:
-2 + 3x = -6 + -8x + x

Combine like terms: -8x + x = -7x
-2 + 3x = -6 + -7x

Solving
-2 + 3x = -6 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-2 + 3x + 7x = -6 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-2 + 10x = -6 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 10x = -6 + 0
-2 + 10x = -6

Add '2' to each side of the equation.
-2 + 2 + 10x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = -6 + 2
10x = -6 + 2

Combine like terms: -6 + 2 = -4
10x = -4

Divide each side by '10'.
x = -0.4

Simplifying
x = -0.4

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