3(x+5)+2(x-2)=4(x-3)+8(x-1)

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Solution for 3(x+5)+2(x-2)=4(x-3)+8(x-1) equation: 


Simplifying
3(x + 5) + 2(x + -2) = 4(x + -3) + 8(x + -1)

Reorder the terms:
3(5 + x) + 2(x + -2) = 4(x + -3) + 8(x + -1)
(5 * 3 + x * 3) + 2(x + -2) = 4(x + -3) + 8(x + -1)
(15 + 3x) + 2(x + -2) = 4(x + -3) + 8(x + -1)

Reorder the terms:
15 + 3x + 2(-2 + x) = 4(x + -3) + 8(x + -1)
15 + 3x + (-2 * 2 + x * 2) = 4(x + -3) + 8(x + -1)
15 + 3x + (-4 + 2x) = 4(x + -3) + 8(x + -1)

Reorder the terms:
15 + -4 + 3x + 2x = 4(x + -3) + 8(x + -1)

Combine like terms: 15 + -4 = 11
11 + 3x + 2x = 4(x + -3) + 8(x + -1)

Combine like terms: 3x + 2x = 5x
11 + 5x = 4(x + -3) + 8(x + -1)

Reorder the terms:
11 + 5x = 4(-3 + x) + 8(x + -1)
11 + 5x = (-3 * 4 + x * 4) + 8(x + -1)
11 + 5x = (-12 + 4x) + 8(x + -1)

Reorder the terms:
11 + 5x = -12 + 4x + 8(-1 + x)
11 + 5x = -12 + 4x + (-1 * 8 + x * 8)
11 + 5x = -12 + 4x + (-8 + 8x)

Reorder the terms:
11 + 5x = -12 + -8 + 4x + 8x

Combine like terms: -12 + -8 = -20
11 + 5x = -20 + 4x + 8x

Combine like terms: 4x + 8x = 12x
11 + 5x = -20 + 12x

Solving
11 + 5x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
11 + 5x + -12x = -20 + 12x + -12x

Combine like terms: 5x + -12x = -7x
11 + -7x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -7x = -20 + 0
11 + -7x = -20

Add '-11' to each side of the equation.
11 + -11 + -7x = -20 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -20 + -11
-7x = -20 + -11

Combine like terms: -20 + -11 = -31
-7x = -31

Divide each side by '-7'.
x = 4.428571429

Simplifying
x = 4.428571429

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