8(x+2)+3x-5=10x-3(2x-1)

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Solution for 8(x+2)+3x-5=10x-3(2x-1) equation:


Simplifying
8(x + 2) + 3x + -5 = 10x + -3(2x + -1)

Reorder the terms:
8(2 + x) + 3x + -5 = 10x + -3(2x + -1)
(2 * 8 + x * 8) + 3x + -5 = 10x + -3(2x + -1)
(16 + 8x) + 3x + -5 = 10x + -3(2x + -1)

Reorder the terms:
16 + -5 + 8x + 3x = 10x + -3(2x + -1)

Combine like terms: 16 + -5 = 11
11 + 8x + 3x = 10x + -3(2x + -1)

Combine like terms: 8x + 3x = 11x
11 + 11x = 10x + -3(2x + -1)

Reorder the terms:
11 + 11x = 10x + -3(-1 + 2x)
11 + 11x = 10x + (-1 * -3 + 2x * -3)
11 + 11x = 10x + (3 + -6x)

Reorder the terms:
11 + 11x = 3 + 10x + -6x

Combine like terms: 10x + -6x = 4x
11 + 11x = 3 + 4x

Solving
11 + 11x = 3 + 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.
11 + 11x + -4x = 3 + 4x + -4x

Combine like terms: 11x + -4x = 7x
11 + 7x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + 7x = 3 + 0
11 + 7x = 3

Add '-11' to each side of the equation.
11 + -11 + 7x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 3 + -11
7x = 3 + -11

Combine like terms: 3 + -11 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

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