3(2X+3)-2(X-3)=7(X+4)-20

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Solution for 3(2X+3)-2(X-3)=7(X+4)-20 equation:


Simplifying
3(2X + 3) + -2(X + -3) = 7(X + 4) + -20

Reorder the terms:
3(3 + 2X) + -2(X + -3) = 7(X + 4) + -20
(3 * 3 + 2X * 3) + -2(X + -3) = 7(X + 4) + -20
(9 + 6X) + -2(X + -3) = 7(X + 4) + -20

Reorder the terms:
9 + 6X + -2(-3 + X) = 7(X + 4) + -20
9 + 6X + (-3 * -2 + X * -2) = 7(X + 4) + -20
9 + 6X + (6 + -2X) = 7(X + 4) + -20

Reorder the terms:
9 + 6 + 6X + -2X = 7(X + 4) + -20

Combine like terms: 9 + 6 = 15
15 + 6X + -2X = 7(X + 4) + -20

Combine like terms: 6X + -2X = 4X
15 + 4X = 7(X + 4) + -20

Reorder the terms:
15 + 4X = 7(4 + X) + -20
15 + 4X = (4 * 7 + X * 7) + -20
15 + 4X = (28 + 7X) + -20

Reorder the terms:
15 + 4X = 28 + -20 + 7X

Combine like terms: 28 + -20 = 8
15 + 4X = 8 + 7X

Solving
15 + 4X = 8 + 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.
15 + 4X + -7X = 8 + 7X + -7X

Combine like terms: 4X + -7X = -3X
15 + -3X = 8 + 7X + -7X

Combine like terms: 7X + -7X = 0
15 + -3X = 8 + 0
15 + -3X = 8

Add '-15' to each side of the equation.
15 + -15 + -3X = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -3X = 8 + -15
-3X = 8 + -15

Combine like terms: 8 + -15 = -7
-3X = -7

Divide each side by '-3'.
X = 2.333333333

Simplifying
X = 2.333333333

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