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

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


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

Reorder the terms:
6(-4 + x) = 8(x + 3) + 10
(-4 * 6 + x * 6) = 8(x + 3) + 10
(-24 + 6x) = 8(x + 3) + 10

Reorder the terms:
-24 + 6x = 8(3 + x) + 10
-24 + 6x = (3 * 8 + x * 8) + 10
-24 + 6x = (24 + 8x) + 10

Reorder the terms:
-24 + 6x = 24 + 10 + 8x

Combine like terms: 24 + 10 = 34
-24 + 6x = 34 + 8x

Solving
-24 + 6x = 34 + 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.
-24 + 6x + -8x = 34 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-24 + -2x = 34 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -2x = 34 + 0
-24 + -2x = 34

Add '24' to each side of the equation.
-24 + 24 + -2x = 34 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = 34 + 24
-2x = 34 + 24

Combine like terms: 34 + 24 = 58
-2x = 58

Divide each side by '-2'.
x = -29

Simplifying
x = -29

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