4(x+11)-3(x+4)=4(x-4)+3(x-4)

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Solution for 4(x+11)-3(x+4)=4(x-4)+3(x-4) equation: 


Simplifying
4(x + 11) + -3(x + 4) = 4(x + -4) + 3(x + -4)

Reorder the terms:
4(11 + x) + -3(x + 4) = 4(x + -4) + 3(x + -4)
(11 * 4 + x * 4) + -3(x + 4) = 4(x + -4) + 3(x + -4)
(44 + 4x) + -3(x + 4) = 4(x + -4) + 3(x + -4)

Reorder the terms:
44 + 4x + -3(4 + x) = 4(x + -4) + 3(x + -4)
44 + 4x + (4 * -3 + x * -3) = 4(x + -4) + 3(x + -4)
44 + 4x + (-12 + -3x) = 4(x + -4) + 3(x + -4)

Reorder the terms:
44 + -12 + 4x + -3x = 4(x + -4) + 3(x + -4)

Combine like terms: 44 + -12 = 32
32 + 4x + -3x = 4(x + -4) + 3(x + -4)

Combine like terms: 4x + -3x = 1x
32 + 1x = 4(x + -4) + 3(x + -4)

Reorder the terms:
32 + 1x = 4(-4 + x) + 3(x + -4)
32 + 1x = (-4 * 4 + x * 4) + 3(x + -4)
32 + 1x = (-16 + 4x) + 3(x + -4)

Reorder the terms:
32 + 1x = -16 + 4x + 3(-4 + x)
32 + 1x = -16 + 4x + (-4 * 3 + x * 3)
32 + 1x = -16 + 4x + (-12 + 3x)

Reorder the terms:
32 + 1x = -16 + -12 + 4x + 3x

Combine like terms: -16 + -12 = -28
32 + 1x = -28 + 4x + 3x

Combine like terms: 4x + 3x = 7x
32 + 1x = -28 + 7x

Solving
32 + 1x = -28 + 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.
32 + 1x + -7x = -28 + 7x + -7x

Combine like terms: 1x + -7x = -6x
32 + -6x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -6x = -28 + 0
32 + -6x = -28

Add '-32' to each side of the equation.
32 + -32 + -6x = -28 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -28 + -32
-6x = -28 + -32

Combine like terms: -28 + -32 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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