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

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


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

Reorder the terms:
3 + 2(5 + 2X) = 4(3X + -1)
3 + (5 * 2 + 2X * 2) = 4(3X + -1)
3 + (10 + 4X) = 4(3X + -1)

Combine like terms: 3 + 10 = 13
13 + 4X = 4(3X + -1)

Reorder the terms:
13 + 4X = 4(-1 + 3X)
13 + 4X = (-1 * 4 + 3X * 4)
13 + 4X = (-4 + 12X)

Solving
13 + 4X = -4 + 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.
13 + 4X + -12X = -4 + 12X + -12X

Combine like terms: 4X + -12X = -8X
13 + -8X = -4 + 12X + -12X

Combine like terms: 12X + -12X = 0
13 + -8X = -4 + 0
13 + -8X = -4

Add '-13' to each side of the equation.
13 + -13 + -8X = -4 + -13

Combine like terms: 13 + -13 = 0
0 + -8X = -4 + -13
-8X = -4 + -13

Combine like terms: -4 + -13 = -17
-8X = -17

Divide each side by '-8'.
X = 2.125

Simplifying
X = 2.125

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