2(4+5x)-3(x-1)=-22

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Solution for 2(4+5x)-3(x-1)=-22 equation: 


Simplifying
2(4 + 5x) + -3(x + -1) = -22
(4 * 2 + 5x * 2) + -3(x + -1) = -22
(8 + 10x) + -3(x + -1) = -22

Reorder the terms:
8 + 10x + -3(-1 + x) = -22
8 + 10x + (-1 * -3 + x * -3) = -22
8 + 10x + (3 + -3x) = -22

Reorder the terms:
8 + 3 + 10x + -3x = -22

Combine like terms: 8 + 3 = 11
11 + 10x + -3x = -22

Combine like terms: 10x + -3x = 7x
11 + 7x = -22

Solving
11 + 7x = -22

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 7x = -22 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = -22 + -11
7x = -22 + -11

Combine like terms: -22 + -11 = -33
7x = -33

Divide each side by '7'.
x = -4.714285714

Simplifying
x = -4.714285714

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