5(-x-2)+8(1+5x)+5=-213

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Solution for 5(-x-2)+8(1+5x)+5=-213 equation:


Simplifying
5(-1x + -2) + 8(1 + 5x) + 5 = -213

Reorder the terms:
5(-2 + -1x) + 8(1 + 5x) + 5 = -213
(-2 * 5 + -1x * 5) + 8(1 + 5x) + 5 = -213
(-10 + -5x) + 8(1 + 5x) + 5 = -213
-10 + -5x + (1 * 8 + 5x * 8) + 5 = -213
-10 + -5x + (8 + 40x) + 5 = -213

Reorder the terms:
-10 + 8 + 5 + -5x + 40x = -213

Combine like terms: -10 + 8 = -2
-2 + 5 + -5x + 40x = -213

Combine like terms: -2 + 5 = 3
3 + -5x + 40x = -213

Combine like terms: -5x + 40x = 35x
3 + 35x = -213

Solving
3 + 35x = -213

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 35x = -213 + -3

Combine like terms: 3 + -3 = 0
0 + 35x = -213 + -3
35x = -213 + -3

Combine like terms: -213 + -3 = -216
35x = -216

Divide each side by '35'.
x = -6.171428571

Simplifying
x = -6.171428571

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