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

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


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

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

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

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

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

Solving
-1 + -1x = 24 + -24x

Solving for variable 'x'.

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

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

Combine like terms: -1x + 24x = 23x
-1 + 23x = 24 + -24x + 24x

Combine like terms: -24x + 24x = 0
-1 + 23x = 24 + 0
-1 + 23x = 24

Add '1' to each side of the equation.
-1 + 1 + 23x = 24 + 1

Combine like terms: -1 + 1 = 0
0 + 23x = 24 + 1
23x = 24 + 1

Combine like terms: 24 + 1 = 25
23x = 25

Divide each side by '23'.
x = 1.086956522

Simplifying
x = 1.086956522

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