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

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


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

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

Combine like terms: x + 8x = 9x
1 + 9x = 2(3 + 5x) + -3(x + 1)
1 + 9x = (3 * 2 + 5x * 2) + -3(x + 1)
1 + 9x = (6 + 10x) + -3(x + 1)

Reorder the terms:
1 + 9x = 6 + 10x + -3(1 + x)
1 + 9x = 6 + 10x + (1 * -3 + x * -3)
1 + 9x = 6 + 10x + (-3 + -3x)

Reorder the terms:
1 + 9x = 6 + -3 + 10x + -3x

Combine like terms: 6 + -3 = 3
1 + 9x = 3 + 10x + -3x

Combine like terms: 10x + -3x = 7x
1 + 9x = 3 + 7x

Solving
1 + 9x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 9x + -7x = 3 + 7x + -7x

Combine like terms: 9x + -7x = 2x
1 + 2x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 2x = 3 + 0
1 + 2x = 3

Add '-1' to each side of the equation.
1 + -1 + 2x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 3 + -1
2x = 3 + -1

Combine like terms: 3 + -1 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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