3x+2=2[2x-7]

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Solution for 3x+2=2[2x-7] equation:


Simplifying
3x + 2 = 2[2x + -7]

Reorder the terms:
2 + 3x = 2[2x + -7]

Reorder the terms:
2 + 3x = 2[-7 + 2x]
2 + 3x = [-7 * 2 + 2x * 2]
2 + 3x = [-14 + 4x]

Solving
2 + 3x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 3x + -4x = -14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -14 + 0
2 + -1x = -14

Add '-2' to each side of the equation.
2 + -2 + -1x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -14 + -2
-1x = -14 + -2

Combine like terms: -14 + -2 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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