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

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


Simplifying
4(3 + -1x) + 5(1 + x) = 3(x + -1)
(3 * 4 + -1x * 4) + 5(1 + x) = 3(x + -1)
(12 + -4x) + 5(1 + x) = 3(x + -1)
12 + -4x + (1 * 5 + x * 5) = 3(x + -1)
12 + -4x + (5 + 5x) = 3(x + -1)

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

Combine like terms: 12 + 5 = 17
17 + -4x + 5x = 3(x + -1)

Combine like terms: -4x + 5x = 1x
17 + 1x = 3(x + -1)

Reorder the terms:
17 + 1x = 3(-1 + x)
17 + 1x = (-1 * 3 + x * 3)
17 + 1x = (-3 + 3x)

Solving
17 + 1x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + 1x + -3x = -3 + 3x + -3x

Combine like terms: 1x + -3x = -2x
17 + -2x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -2x = -3 + 0
17 + -2x = -3

Add '-17' to each side of the equation.
17 + -17 + -2x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = -3 + -17
-2x = -3 + -17

Combine like terms: -3 + -17 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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