3(5x+2)-52=8x-4

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Solution for 3(5x+2)-52=8x-4 equation:


Simplifying
3(5x + 2) + -52 = 8x + -4

Reorder the terms:
3(2 + 5x) + -52 = 8x + -4
(2 * 3 + 5x * 3) + -52 = 8x + -4
(6 + 15x) + -52 = 8x + -4

Reorder the terms:
6 + -52 + 15x = 8x + -4

Combine like terms: 6 + -52 = -46
-46 + 15x = 8x + -4

Reorder the terms:
-46 + 15x = -4 + 8x

Solving
-46 + 15x = -4 + 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.
-46 + 15x + -8x = -4 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-46 + 7x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-46 + 7x = -4 + 0
-46 + 7x = -4

Add '46' to each side of the equation.
-46 + 46 + 7x = -4 + 46

Combine like terms: -46 + 46 = 0
0 + 7x = -4 + 46
7x = -4 + 46

Combine like terms: -4 + 46 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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