-5(X+4)+3X+6=7X+7

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Solution for -5(X+4)+3X+6=7X+7 equation:


Simplifying
-5(X + 4) + 3X + 6 = 7X + 7

Reorder the terms:
-5(4 + X) + 3X + 6 = 7X + 7
(4 * -5 + X * -5) + 3X + 6 = 7X + 7
(-20 + -5X) + 3X + 6 = 7X + 7

Reorder the terms:
-20 + 6 + -5X + 3X = 7X + 7

Combine like terms: -20 + 6 = -14
-14 + -5X + 3X = 7X + 7

Combine like terms: -5X + 3X = -2X
-14 + -2X = 7X + 7

Reorder the terms:
-14 + -2X = 7 + 7X

Solving
-14 + -2X = 7 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
-14 + -2X + -7X = 7 + 7X + -7X

Combine like terms: -2X + -7X = -9X
-14 + -9X = 7 + 7X + -7X

Combine like terms: 7X + -7X = 0
-14 + -9X = 7 + 0
-14 + -9X = 7

Add '14' to each side of the equation.
-14 + 14 + -9X = 7 + 14

Combine like terms: -14 + 14 = 0
0 + -9X = 7 + 14
-9X = 7 + 14

Combine like terms: 7 + 14 = 21
-9X = 21

Divide each side by '-9'.
X = -2.333333333

Simplifying
X = -2.333333333

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