3-2x=10-3(2x-3)

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Solution for 3-2x=10-3(2x-3) equation:


Simplifying
3 + -2x = 10 + -3(2x + -3)

Reorder the terms:
3 + -2x = 10 + -3(-3 + 2x)
3 + -2x = 10 + (-3 * -3 + 2x * -3)
3 + -2x = 10 + (9 + -6x)

Combine like terms: 10 + 9 = 19
3 + -2x = 19 + -6x

Solving
3 + -2x = 19 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + -2x + 6x = 19 + -6x + 6x

Combine like terms: -2x + 6x = 4x
3 + 4x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 4x = 19 + 0
3 + 4x = 19

Add '-3' to each side of the equation.
3 + -3 + 4x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 19 + -3
4x = 19 + -3

Combine like terms: 19 + -3 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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