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

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


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

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

Reorder the terms:
-2 + 6x + -4(2 + x) = 5
-2 + 6x + (2 * -4 + x * -4) = 5
-2 + 6x + (-8 + -4x) = 5

Reorder the terms:
-2 + -8 + 6x + -4x = 5

Combine like terms: -2 + -8 = -10
-10 + 6x + -4x = 5

Combine like terms: 6x + -4x = 2x
-10 + 2x = 5

Solving
-10 + 2x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 5 + 10

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

Combine like terms: 5 + 10 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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