3(2x-3(x+1))+8=4x-(x+3)

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Solution for 3(2x-3(x+1))+8=4x-(x+3) equation:


Simplifying
3(2x + -3(x + 1)) + 8 = 4x + -1(x + 3)

Reorder the terms:
3(2x + -3(1 + x)) + 8 = 4x + -1(x + 3)
3(2x + (1 * -3 + x * -3)) + 8 = 4x + -1(x + 3)
3(2x + (-3 + -3x)) + 8 = 4x + -1(x + 3)

Reorder the terms:
3(-3 + 2x + -3x) + 8 = 4x + -1(x + 3)

Combine like terms: 2x + -3x = -1x
3(-3 + -1x) + 8 = 4x + -1(x + 3)
(-3 * 3 + -1x * 3) + 8 = 4x + -1(x + 3)
(-9 + -3x) + 8 = 4x + -1(x + 3)

Reorder the terms:
-9 + 8 + -3x = 4x + -1(x + 3)

Combine like terms: -9 + 8 = -1
-1 + -3x = 4x + -1(x + 3)

Reorder the terms:
-1 + -3x = 4x + -1(3 + x)
-1 + -3x = 4x + (3 * -1 + x * -1)
-1 + -3x = 4x + (-3 + -1x)

Reorder the terms:
-1 + -3x = -3 + 4x + -1x

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

Solving
-1 + -3x = -3 + 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.
-1 + -3x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -6x = -3 + 0
-1 + -6x = -3

Add '1' to each side of the equation.
-1 + 1 + -6x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = -3 + 1
-6x = -3 + 1

Combine like terms: -3 + 1 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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