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

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


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

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

Reorder the terms:
-3 + 2x + 6x = 4x + -5

Combine like terms: 2x + 6x = 8x
-3 + 8x = 4x + -5

Reorder the terms:
-3 + 8x = -5 + 4x

Solving
-3 + 8x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 8x + -4x = -5 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-3 + 4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 4x = -5 + 0
-3 + 4x = -5

Add '3' to each side of the equation.
-3 + 3 + 4x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -5 + 3
4x = -5 + 3

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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