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

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


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

Reorder the terms:
5(-2 + 3x) + -8x = 8x + -1(4x + 1)
(-2 * 5 + 3x * 5) + -8x = 8x + -1(4x + 1)
(-10 + 15x) + -8x = 8x + -1(4x + 1)

Combine like terms: 15x + -8x = 7x
-10 + 7x = 8x + -1(4x + 1)

Reorder the terms:
-10 + 7x = 8x + -1(1 + 4x)
-10 + 7x = 8x + (1 * -1 + 4x * -1)
-10 + 7x = 8x + (-1 + -4x)

Reorder the terms:
-10 + 7x = -1 + 8x + -4x

Combine like terms: 8x + -4x = 4x
-10 + 7x = -1 + 4x

Solving
-10 + 7x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 7x + -4x = -1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 3x = -1 + 0
-10 + 3x = -1

Add '10' to each side of the equation.
-10 + 10 + 3x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -1 + 10
3x = -1 + 10

Combine like terms: -1 + 10 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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