2(x-7)-3(8-2x)-2(x+3)=4(x+1)

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Solution for 2(x-7)-3(8-2x)-2(x+3)=4(x+1) equation: 


Simplifying
2(x + -7) + -3(8 + -2x) + -2(x + 3) = 4(x + 1)

Reorder the terms:
2(-7 + x) + -3(8 + -2x) + -2(x + 3) = 4(x + 1)
(-7 * 2 + x * 2) + -3(8 + -2x) + -2(x + 3) = 4(x + 1)
(-14 + 2x) + -3(8 + -2x) + -2(x + 3) = 4(x + 1)
-14 + 2x + (8 * -3 + -2x * -3) + -2(x + 3) = 4(x + 1)
-14 + 2x + (-24 + 6x) + -2(x + 3) = 4(x + 1)

Reorder the terms:
-14 + 2x + -24 + 6x + -2(3 + x) = 4(x + 1)
-14 + 2x + -24 + 6x + (3 * -2 + x * -2) = 4(x + 1)
-14 + 2x + -24 + 6x + (-6 + -2x) = 4(x + 1)

Reorder the terms:
-14 + -24 + -6 + 2x + 6x + -2x = 4(x + 1)

Combine like terms: -14 + -24 = -38
-38 + -6 + 2x + 6x + -2x = 4(x + 1)

Combine like terms: -38 + -6 = -44
-44 + 2x + 6x + -2x = 4(x + 1)

Combine like terms: 2x + 6x = 8x
-44 + 8x + -2x = 4(x + 1)

Combine like terms: 8x + -2x = 6x
-44 + 6x = 4(x + 1)

Reorder the terms:
-44 + 6x = 4(1 + x)
-44 + 6x = (1 * 4 + x * 4)
-44 + 6x = (4 + 4x)

Solving
-44 + 6x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-44 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-44 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-44 + 2x = 4 + 0
-44 + 2x = 4

Add '44' to each side of the equation.
-44 + 44 + 2x = 4 + 44

Combine like terms: -44 + 44 = 0
0 + 2x = 4 + 44
2x = 4 + 44

Combine like terms: 4 + 44 = 48
2x = 48

Divide each side by '2'.
x = 24

Simplifying
x = 24

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