10(3x-1)=8(3x+1)+24

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Solution for 10(3x-1)=8(3x+1)+24 equation:


Simplifying
10(3x + -1) = 8(3x + 1) + 24

Reorder the terms:
10(-1 + 3x) = 8(3x + 1) + 24
(-1 * 10 + 3x * 10) = 8(3x + 1) + 24
(-10 + 30x) = 8(3x + 1) + 24

Reorder the terms:
-10 + 30x = 8(1 + 3x) + 24
-10 + 30x = (1 * 8 + 3x * 8) + 24
-10 + 30x = (8 + 24x) + 24

Reorder the terms:
-10 + 30x = 8 + 24 + 24x

Combine like terms: 8 + 24 = 32
-10 + 30x = 32 + 24x

Solving
-10 + 30x = 32 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-10 + 30x + -24x = 32 + 24x + -24x

Combine like terms: 30x + -24x = 6x
-10 + 6x = 32 + 24x + -24x

Combine like terms: 24x + -24x = 0
-10 + 6x = 32 + 0
-10 + 6x = 32

Add '10' to each side of the equation.
-10 + 10 + 6x = 32 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 32 + 10
6x = 32 + 10

Combine like terms: 32 + 10 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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