3[2+4(2-x)+3x]=10-5x

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


Simplifying
3[2 + 4(2 + -1x) + 3x] = 10 + -5x
3[2 + (2 * 4 + -1x * 4) + 3x] = 10 + -5x
3[2 + (8 + -4x) + 3x] = 10 + -5x

Combine like terms: 2 + 8 = 10
3[10 + -4x + 3x] = 10 + -5x

Combine like terms: -4x + 3x = -1x
3[10 + -1x] = 10 + -5x
[10 * 3 + -1x * 3] = 10 + -5x
[30 + -3x] = 10 + -5x

Solving
30 + -3x = 10 + -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.
30 + -3x + 5x = 10 + -5x + 5x

Combine like terms: -3x + 5x = 2x
30 + 2x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
30 + 2x = 10 + 0
30 + 2x = 10

Add '-30' to each side of the equation.
30 + -30 + 2x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 10 + -30
2x = 10 + -30

Combine like terms: 10 + -30 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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