3(x+2)+4(x-4)=7(x-4)+6(x+7)

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Solution for 3(x+2)+4(x-4)=7(x-4)+6(x+7) equation: 


Simplifying
3(x + 2) + 4(x + -4) = 7(x + -4) + 6(x + 7)

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

Reorder the terms:
6 + 3x + 4(-4 + x) = 7(x + -4) + 6(x + 7)
6 + 3x + (-4 * 4 + x * 4) = 7(x + -4) + 6(x + 7)
6 + 3x + (-16 + 4x) = 7(x + -4) + 6(x + 7)

Reorder the terms:
6 + -16 + 3x + 4x = 7(x + -4) + 6(x + 7)

Combine like terms: 6 + -16 = -10
-10 + 3x + 4x = 7(x + -4) + 6(x + 7)

Combine like terms: 3x + 4x = 7x
-10 + 7x = 7(x + -4) + 6(x + 7)

Reorder the terms:
-10 + 7x = 7(-4 + x) + 6(x + 7)
-10 + 7x = (-4 * 7 + x * 7) + 6(x + 7)
-10 + 7x = (-28 + 7x) + 6(x + 7)

Reorder the terms:
-10 + 7x = -28 + 7x + 6(7 + x)
-10 + 7x = -28 + 7x + (7 * 6 + x * 6)
-10 + 7x = -28 + 7x + (42 + 6x)

Reorder the terms:
-10 + 7x = -28 + 42 + 7x + 6x

Combine like terms: -28 + 42 = 14
-10 + 7x = 14 + 7x + 6x

Combine like terms: 7x + 6x = 13x
-10 + 7x = 14 + 13x

Solving
-10 + 7x = 14 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-10 + 7x + -13x = 14 + 13x + -13x

Combine like terms: 7x + -13x = -6x
-10 + -6x = 14 + 13x + -13x

Combine like terms: 13x + -13x = 0
-10 + -6x = 14 + 0
-10 + -6x = 14

Add '10' to each side of the equation.
-10 + 10 + -6x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 14 + 10
-6x = 14 + 10

Combine like terms: 14 + 10 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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