1-2x+6x+10=8(x+3)-(1+5x)

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Solution for 1-2x+6x+10=8(x+3)-(1+5x) equation:


Simplifying
1 + -2x + 6x + 10 = 8(x + 3) + -1(1 + 5x)

Reorder the terms:
1 + 10 + -2x + 6x = 8(x + 3) + -1(1 + 5x)

Combine like terms: 1 + 10 = 11
11 + -2x + 6x = 8(x + 3) + -1(1 + 5x)

Combine like terms: -2x + 6x = 4x
11 + 4x = 8(x + 3) + -1(1 + 5x)

Reorder the terms:
11 + 4x = 8(3 + x) + -1(1 + 5x)
11 + 4x = (3 * 8 + x * 8) + -1(1 + 5x)
11 + 4x = (24 + 8x) + -1(1 + 5x)
11 + 4x = 24 + 8x + (1 * -1 + 5x * -1)
11 + 4x = 24 + 8x + (-1 + -5x)

Reorder the terms:
11 + 4x = 24 + -1 + 8x + -5x

Combine like terms: 24 + -1 = 23
11 + 4x = 23 + 8x + -5x

Combine like terms: 8x + -5x = 3x
11 + 4x = 23 + 3x

Solving
11 + 4x = 23 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 4x + -3x = 23 + 3x + -3x

Combine like terms: 4x + -3x = 1x
11 + 1x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 1x = 23 + 0
11 + 1x = 23

Add '-11' to each side of the equation.
11 + -11 + 1x = 23 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 23 + -11
1x = 23 + -11

Combine like terms: 23 + -11 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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