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

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


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

Reorder the terms:
3(7 + 4x) + -4(X + -2) = 3(X + 4) + -2
(7 * 3 + 4x * 3) + -4(X + -2) = 3(X + 4) + -2
(21 + 12x) + -4(X + -2) = 3(X + 4) + -2

Reorder the terms:
21 + 12x + -4(-2 + X) = 3(X + 4) + -2
21 + 12x + (-2 * -4 + X * -4) = 3(X + 4) + -2
21 + 12x + (8 + -4X) = 3(X + 4) + -2

Reorder the terms:
21 + 8 + -4X + 12x = 3(X + 4) + -2

Combine like terms: 21 + 8 = 29
29 + -4X + 12x = 3(X + 4) + -2

Reorder the terms:
29 + -4X + 12x = 3(4 + X) + -2
29 + -4X + 12x = (4 * 3 + X * 3) + -2
29 + -4X + 12x = (12 + 3X) + -2

Reorder the terms:
29 + -4X + 12x = 12 + -2 + 3X

Combine like terms: 12 + -2 = 10
29 + -4X + 12x = 10 + 3X

Solving
29 + -4X + 12x = 10 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
29 + -4X + -3X + 12x = 10 + 3X + -3X

Combine like terms: -4X + -3X = -7X
29 + -7X + 12x = 10 + 3X + -3X

Combine like terms: 3X + -3X = 0
29 + -7X + 12x = 10 + 0
29 + -7X + 12x = 10

Add '-29' to each side of the equation.
29 + -7X + -29 + 12x = 10 + -29

Reorder the terms:
29 + -29 + -7X + 12x = 10 + -29

Combine like terms: 29 + -29 = 0
0 + -7X + 12x = 10 + -29
-7X + 12x = 10 + -29

Combine like terms: 10 + -29 = -19
-7X + 12x = -19

Add '-12x' to each side of the equation.
-7X + 12x + -12x = -19 + -12x

Combine like terms: 12x + -12x = 0
-7X + 0 = -19 + -12x
-7X = -19 + -12x

Divide each side by '-7'.
X = 2.714285714 + 1.714285714x

Simplifying
X = 2.714285714 + 1.714285714x

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