3X+7-2(X+3)=4X-7

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Solution for 3X+7-2(X+3)=4X-7 equation: 


Simplifying
3X + 7 + -2(X + 3) = 4X + -7

Reorder the terms:
3X + 7 + -2(3 + X) = 4X + -7
3X + 7 + (3 * -2 + X * -2) = 4X + -7
3X + 7 + (-6 + -2X) = 4X + -7

Reorder the terms:
7 + -6 + 3X + -2X = 4X + -7

Combine like terms: 7 + -6 = 1
1 + 3X + -2X = 4X + -7

Combine like terms: 3X + -2X = 1X
1 + 1X = 4X + -7

Reorder the terms:
1 + 1X = -7 + 4X

Solving
1 + 1X = -7 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
1 + 1X + -4X = -7 + 4X + -4X

Combine like terms: 1X + -4X = -3X
1 + -3X = -7 + 4X + -4X

Combine like terms: 4X + -4X = 0
1 + -3X = -7 + 0
1 + -3X = -7

Add '-1' to each side of the equation.
1 + -1 + -3X = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -3X = -7 + -1
-3X = -7 + -1

Combine like terms: -7 + -1 = -8
-3X = -8

Divide each side by '-3'.
X = 2.666666667

Simplifying
X = 2.666666667

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