(x+2)-4(x-5)=7

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Solution for (x+2)-4(x-5)=7 equation: 


Simplifying
(x + 2) + -4(x + -5) = 7

Reorder the terms:
(2 + x) + -4(x + -5) = 7

Remove parenthesis around (2 + x)
2 + x + -4(x + -5) = 7

Reorder the terms:
2 + x + -4(-5 + x) = 7
2 + x + (-5 * -4 + x * -4) = 7
2 + x + (20 + -4x) = 7

Reorder the terms:
2 + 20 + x + -4x = 7

Combine like terms: 2 + 20 = 22
22 + x + -4x = 7

Combine like terms: x + -4x = -3x
22 + -3x = 7

Solving
22 + -3x = 7

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -3x = 7 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 7 + -22
-3x = 7 + -22

Combine like terms: 7 + -22 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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