8-2(2-3x)=7-3(x-2)

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Solution for 8-2(2-3x)=7-3(x-2) equation:


Simplifying
8 + -2(2 + -3x) = 7 + -3(x + -2)
8 + (2 * -2 + -3x * -2) = 7 + -3(x + -2)
8 + (-4 + 6x) = 7 + -3(x + -2)

Combine like terms: 8 + -4 = 4
4 + 6x = 7 + -3(x + -2)

Reorder the terms:
4 + 6x = 7 + -3(-2 + x)
4 + 6x = 7 + (-2 * -3 + x * -3)
4 + 6x = 7 + (6 + -3x)

Combine like terms: 7 + 6 = 13
4 + 6x = 13 + -3x

Solving
4 + 6x = 13 + -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.
4 + 6x + 3x = 13 + -3x + 3x

Combine like terms: 6x + 3x = 9x
4 + 9x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 9x = 13 + 0
4 + 9x = 13

Add '-4' to each side of the equation.
4 + -4 + 9x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 13 + -4
9x = 13 + -4

Combine like terms: 13 + -4 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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