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

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


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

Reorder the terms:
3x + 4[-5 + 3x] = 10x
3x + [-5 * 4 + 3x * 4] = 10x
3x + [-20 + 12x] = 10x

Reorder the terms:
-20 + 3x + 12x = 10x

Combine like terms: 3x + 12x = 15x
-20 + 15x = 10x

Solving
-20 + 15x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 15x + -10x = 10x + -10x

Combine like terms: 15x + -10x = 5x
-20 + 5x = 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + 5x = 0

Add '20' to each side of the equation.
-20 + 20 + 5x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 0 + 20
5x = 0 + 20

Combine like terms: 0 + 20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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