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

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


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

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

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

Combine like terms: 4 + 6 = 10
-3 + x = 10 + -2x

Solving
-3 + x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + x + 2x = 10 + -2x + 2x

Combine like terms: x + 2x = 3x
-3 + 3x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 3x = 10 + 0
-3 + 3x = 10

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

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

Combine like terms: 10 + 3 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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