5(X+4)=2(X+1)-7

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Solution for 5(X+4)=2(X+1)-7 equation: 


Simplifying
5(X + 4) = 2(X + 1) + -7

Reorder the terms:
5(4 + X) = 2(X + 1) + -7
(4 * 5 + X * 5) = 2(X + 1) + -7
(20 + 5X) = 2(X + 1) + -7

Reorder the terms:
20 + 5X = 2(1 + X) + -7
20 + 5X = (1 * 2 + X * 2) + -7
20 + 5X = (2 + 2X) + -7

Reorder the terms:
20 + 5X = 2 + -7 + 2X

Combine like terms: 2 + -7 = -5
20 + 5X = -5 + 2X

Solving
20 + 5X = -5 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
20 + 5X + -2X = -5 + 2X + -2X

Combine like terms: 5X + -2X = 3X
20 + 3X = -5 + 2X + -2X

Combine like terms: 2X + -2X = 0
20 + 3X = -5 + 0
20 + 3X = -5

Add '-20' to each side of the equation.
20 + -20 + 3X = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 3X = -5 + -20
3X = -5 + -20

Combine like terms: -5 + -20 = -25
3X = -25

Divide each side by '3'.
X = -8.333333333

Simplifying
X = -8.333333333

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