2-3x=5[2(x-3)-x]

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Solution for 2-3x=5[2(x-3)-x] equation:


Simplifying
2 + -3x = 5[2(x + -3) + -1x]

Reorder the terms:
2 + -3x = 5[2(-3 + x) + -1x]
2 + -3x = 5[(-3 * 2 + x * 2) + -1x]
2 + -3x = 5[(-6 + 2x) + -1x]

Combine like terms: 2x + -1x = 1x
2 + -3x = 5[-6 + 1x]
2 + -3x = [-6 * 5 + 1x * 5]
2 + -3x = [-30 + 5x]

Solving
2 + -3x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -3x + -5x = -30 + 5x + -5x

Combine like terms: -3x + -5x = -8x
2 + -8x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -8x = -30 + 0
2 + -8x = -30

Add '-2' to each side of the equation.
2 + -2 + -8x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -30 + -2
-8x = -30 + -2

Combine like terms: -30 + -2 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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