4(x+14)-3(x+2)=3(x-6)+4(x-4)

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Solution for 4(x+14)-3(x+2)=3(x-6)+4(x-4) equation: 


Simplifying
4(x + 14) + -3(x + 2) = 3(x + -6) + 4(x + -4)

Reorder the terms:
4(14 + x) + -3(x + 2) = 3(x + -6) + 4(x + -4)
(14 * 4 + x * 4) + -3(x + 2) = 3(x + -6) + 4(x + -4)
(56 + 4x) + -3(x + 2) = 3(x + -6) + 4(x + -4)

Reorder the terms:
56 + 4x + -3(2 + x) = 3(x + -6) + 4(x + -4)
56 + 4x + (2 * -3 + x * -3) = 3(x + -6) + 4(x + -4)
56 + 4x + (-6 + -3x) = 3(x + -6) + 4(x + -4)

Reorder the terms:
56 + -6 + 4x + -3x = 3(x + -6) + 4(x + -4)

Combine like terms: 56 + -6 = 50
50 + 4x + -3x = 3(x + -6) + 4(x + -4)

Combine like terms: 4x + -3x = 1x
50 + 1x = 3(x + -6) + 4(x + -4)

Reorder the terms:
50 + 1x = 3(-6 + x) + 4(x + -4)
50 + 1x = (-6 * 3 + x * 3) + 4(x + -4)
50 + 1x = (-18 + 3x) + 4(x + -4)

Reorder the terms:
50 + 1x = -18 + 3x + 4(-4 + x)
50 + 1x = -18 + 3x + (-4 * 4 + x * 4)
50 + 1x = -18 + 3x + (-16 + 4x)

Reorder the terms:
50 + 1x = -18 + -16 + 3x + 4x

Combine like terms: -18 + -16 = -34
50 + 1x = -34 + 3x + 4x

Combine like terms: 3x + 4x = 7x
50 + 1x = -34 + 7x

Solving
50 + 1x = -34 + 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.
50 + 1x + -7x = -34 + 7x + -7x

Combine like terms: 1x + -7x = -6x
50 + -6x = -34 + 7x + -7x

Combine like terms: 7x + -7x = 0
50 + -6x = -34 + 0
50 + -6x = -34

Add '-50' to each side of the equation.
50 + -50 + -6x = -34 + -50

Combine like terms: 50 + -50 = 0
0 + -6x = -34 + -50
-6x = -34 + -50

Combine like terms: -34 + -50 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14

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