1+3(8x-2)=7x-(x-1)

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Solution for 1+3(8x-2)=7x-(x-1) equation:


Simplifying
1 + 3(8x + -2) = 7x + -1(x + -1)

Reorder the terms:
1 + 3(-2 + 8x) = 7x + -1(x + -1)
1 + (-2 * 3 + 8x * 3) = 7x + -1(x + -1)
1 + (-6 + 24x) = 7x + -1(x + -1)

Combine like terms: 1 + -6 = -5
-5 + 24x = 7x + -1(x + -1)

Reorder the terms:
-5 + 24x = 7x + -1(-1 + x)
-5 + 24x = 7x + (-1 * -1 + x * -1)
-5 + 24x = 7x + (1 + -1x)

Reorder the terms:
-5 + 24x = 1 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-5 + 24x = 1 + 6x

Solving
-5 + 24x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 24x + -6x = 1 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-5 + 18x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 18x = 1 + 0
-5 + 18x = 1

Add '5' to each side of the equation.
-5 + 5 + 18x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 18x = 1 + 5
18x = 1 + 5

Combine like terms: 1 + 5 = 6
18x = 6

Divide each side by '18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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