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

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


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

Reorder the terms:
1 + -3(-3 + 2x) = 4 + -3x
1 + (-3 * -3 + 2x * -3) = 4 + -3x
1 + (9 + -6x) = 4 + -3x

Combine like terms: 1 + 9 = 10
10 + -6x = 4 + -3x

Solving
10 + -6x = 4 + -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.
10 + -6x + 3x = 4 + -3x + 3x

Combine like terms: -6x + 3x = -3x
10 + -3x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -3x = 4 + 0
10 + -3x = 4

Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10

Combine like terms: 4 + -10 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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