5-3(2x+1)=2-4(3x-2)

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Solution for 5-3(2x+1)=2-4(3x-2) equation: 


Simplifying
5 + -3(2x + 1) = 2 + -4(3x + -2)

Reorder the terms:
5 + -3(1 + 2x) = 2 + -4(3x + -2)
5 + (1 * -3 + 2x * -3) = 2 + -4(3x + -2)
5 + (-3 + -6x) = 2 + -4(3x + -2)

Combine like terms: 5 + -3 = 2
2 + -6x = 2 + -4(3x + -2)

Reorder the terms:
2 + -6x = 2 + -4(-2 + 3x)
2 + -6x = 2 + (-2 * -4 + 3x * -4)
2 + -6x = 2 + (8 + -12x)

Combine like terms: 2 + 8 = 10
2 + -6x = 10 + -12x

Solving
2 + -6x = 10 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
2 + -6x + 12x = 10 + -12x + 12x

Combine like terms: -6x + 12x = 6x
2 + 6x = 10 + -12x + 12x

Combine like terms: -12x + 12x = 0
2 + 6x = 10 + 0
2 + 6x = 10

Add '-2' to each side of the equation.
2 + -2 + 6x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 10 + -2
6x = 10 + -2

Combine like terms: 10 + -2 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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