1+(2x-6)=4x-(3-3x)

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Solution for 1+(2x-6)=4x-(3-3x) equation:


Simplifying
1 + (2x + -6) = 4x + -1(3 + -3x)

Reorder the terms:
1 + (-6 + 2x) = 4x + -1(3 + -3x)

Remove parenthesis around (-6 + 2x)
1 + -6 + 2x = 4x + -1(3 + -3x)

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

Reorder the terms:
-5 + 2x = -3 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-5 + 2x = -3 + 7x

Solving
-5 + 2x = -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.
-5 + 2x + -7x = -3 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-5 + -5x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -5x = -3 + 0
-5 + -5x = -3

Add '5' to each side of the equation.
-5 + 5 + -5x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -3 + 5
-5x = -3 + 5

Combine like terms: -3 + 5 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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