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

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


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

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

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

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

Reorder the terms for easier multiplication:
-11 + 3x = 4 * 5(1 + x)

Multiply 4 * 5
-11 + 3x = 20(1 + x)
-11 + 3x = (1 * 20 + x * 20)
-11 + 3x = (20 + 20x)

Solving
-11 + 3x = 20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-11 + 3x + -20x = 20 + 20x + -20x

Combine like terms: 3x + -20x = -17x
-11 + -17x = 20 + 20x + -20x

Combine like terms: 20x + -20x = 0
-11 + -17x = 20 + 0
-11 + -17x = 20

Add '11' to each side of the equation.
-11 + 11 + -17x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + -17x = 20 + 11
-17x = 20 + 11

Combine like terms: 20 + 11 = 31
-17x = 31

Divide each side by '-17'.
x = -1.823529412

Simplifying
x = -1.823529412

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