8(3x+10)-2x=-52

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Solution for 8(3x+10)-2x=-52 equation:


Simplifying
8(3x + 10) + -2x = -52

Reorder the terms:
8(10 + 3x) + -2x = -52
(10 * 8 + 3x * 8) + -2x = -52
(80 + 24x) + -2x = -52

Combine like terms: 24x + -2x = 22x
80 + 22x = -52

Solving
80 + 22x = -52

Solving for variable 'x'.

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

Add '-80' to each side of the equation.
80 + -80 + 22x = -52 + -80

Combine like terms: 80 + -80 = 0
0 + 22x = -52 + -80
22x = -52 + -80

Combine like terms: -52 + -80 = -132
22x = -132

Divide each side by '22'.
x = -6

Simplifying
x = -6

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