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

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


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

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

Reorder the terms:
15 + 3x + -4(-2 + x) + -3x = 22
15 + 3x + (-2 * -4 + x * -4) + -3x = 22
15 + 3x + (8 + -4x) + -3x = 22

Reorder the terms:
15 + 8 + 3x + -4x + -3x = 22

Combine like terms: 15 + 8 = 23
23 + 3x + -4x + -3x = 22

Combine like terms: 3x + -4x = -1x
23 + -1x + -3x = 22

Combine like terms: -1x + -3x = -4x
23 + -4x = 22

Solving
23 + -4x = 22

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -4x = 22 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = 22 + -23
-4x = 22 + -23

Combine like terms: 22 + -23 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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