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

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


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

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

Reorder the terms:
16 + 4x + -3(3 + x) = 3(x + -7) + 4(x + -4)
16 + 4x + (3 * -3 + x * -3) = 3(x + -7) + 4(x + -4)
16 + 4x + (-9 + -3x) = 3(x + -7) + 4(x + -4)

Reorder the terms:
16 + -9 + 4x + -3x = 3(x + -7) + 4(x + -4)

Combine like terms: 16 + -9 = 7
7 + 4x + -3x = 3(x + -7) + 4(x + -4)

Combine like terms: 4x + -3x = 1x
7 + 1x = 3(x + -7) + 4(x + -4)

Reorder the terms:
7 + 1x = 3(-7 + x) + 4(x + -4)
7 + 1x = (-7 * 3 + x * 3) + 4(x + -4)
7 + 1x = (-21 + 3x) + 4(x + -4)

Reorder the terms:
7 + 1x = -21 + 3x + 4(-4 + x)
7 + 1x = -21 + 3x + (-4 * 4 + x * 4)
7 + 1x = -21 + 3x + (-16 + 4x)

Reorder the terms:
7 + 1x = -21 + -16 + 3x + 4x

Combine like terms: -21 + -16 = -37
7 + 1x = -37 + 3x + 4x

Combine like terms: 3x + 4x = 7x
7 + 1x = -37 + 7x

Solving
7 + 1x = -37 + 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.
7 + 1x + -7x = -37 + 7x + -7x

Combine like terms: 1x + -7x = -6x
7 + -6x = -37 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -6x = -37 + 0
7 + -6x = -37

Add '-7' to each side of the equation.
7 + -7 + -6x = -37 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -37 + -7
-6x = -37 + -7

Combine like terms: -37 + -7 = -44
-6x = -44

Divide each side by '-6'.
x = 7.333333333

Simplifying
x = 7.333333333

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