5(3x-8)=46-2(x+1)

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Solution for 5(3x-8)=46-2(x+1) equation:


Simplifying
5(3x + -8) = 46 + -2(x + 1)

Reorder the terms:
5(-8 + 3x) = 46 + -2(x + 1)
(-8 * 5 + 3x * 5) = 46 + -2(x + 1)
(-40 + 15x) = 46 + -2(x + 1)

Reorder the terms:
-40 + 15x = 46 + -2(1 + x)
-40 + 15x = 46 + (1 * -2 + x * -2)
-40 + 15x = 46 + (-2 + -2x)

Combine like terms: 46 + -2 = 44
-40 + 15x = 44 + -2x

Solving
-40 + 15x = 44 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-40 + 15x + 2x = 44 + -2x + 2x

Combine like terms: 15x + 2x = 17x
-40 + 17x = 44 + -2x + 2x

Combine like terms: -2x + 2x = 0
-40 + 17x = 44 + 0
-40 + 17x = 44

Add '40' to each side of the equation.
-40 + 40 + 17x = 44 + 40

Combine like terms: -40 + 40 = 0
0 + 17x = 44 + 40
17x = 44 + 40

Combine like terms: 44 + 40 = 84
17x = 84

Divide each side by '17'.
x = 4.941176471

Simplifying
x = 4.941176471

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