3x-10=2[4x-5]

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Solution for 3x-10=2[4x-5] equation:


Simplifying
3x + -10 = 2[4x + -5]

Reorder the terms:
-10 + 3x = 2[4x + -5]

Reorder the terms:
-10 + 3x = 2[-5 + 4x]
-10 + 3x = [-5 * 2 + 4x * 2]
-10 + 3x = [-10 + 8x]

Add '10' to each side of the equation.
-10 + 10 + 3x = -10 + 10 + 8x

Combine like terms: -10 + 10 = 0
0 + 3x = -10 + 10 + 8x
3x = -10 + 10 + 8x

Combine like terms: -10 + 10 = 0
3x = 0 + 8x
3x = 8x

Solving
3x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3x + -8x = 8x + -8x

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

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

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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