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

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


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

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

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

Combine like terms: -15 + -2 = -17
-17 + 3x + 2x = 3(4 + -1x)

Combine like terms: 3x + 2x = 5x
-17 + 5x = 3(4 + -1x)
-17 + 5x = (4 * 3 + -1x * 3)
-17 + 5x = (12 + -3x)

Solving
-17 + 5x = 12 + -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 + 5x + 3x = 12 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-17 + 8x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-17 + 8x = 12 + 0
-17 + 8x = 12

Add '17' to each side of the equation.
-17 + 17 + 8x = 12 + 17

Combine like terms: -17 + 17 = 0
0 + 8x = 12 + 17
8x = 12 + 17

Combine like terms: 12 + 17 = 29
8x = 29

Divide each side by '8'.
x = 3.625

Simplifying
x = 3.625

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