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

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


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

Reorder the terms:
4(1 + x) + -3(2x + -5) = 22
(1 * 4 + x * 4) + -3(2x + -5) = 22
(4 + 4x) + -3(2x + -5) = 22

Reorder the terms:
4 + 4x + -3(-5 + 2x) = 22
4 + 4x + (-5 * -3 + 2x * -3) = 22
4 + 4x + (15 + -6x) = 22

Reorder the terms:
4 + 15 + 4x + -6x = 22

Combine like terms: 4 + 15 = 19
19 + 4x + -6x = 22

Combine like terms: 4x + -6x = -2x
19 + -2x = 22

Solving
19 + -2x = 22

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 22 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 22 + -19
-2x = 22 + -19

Combine like terms: 22 + -19 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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