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

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


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

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

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

Combine like terms: -2 + -5 = -7
-7 + 4x + 3x = x + -4

Combine like terms: 4x + 3x = 7x
-7 + 7x = x + -4

Reorder the terms:
-7 + 7x = -4 + x

Solving
-7 + 7x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 7x + -1x = -4 + x + -1x

Combine like terms: 7x + -1x = 6x
-7 + 6x = -4 + x + -1x

Combine like terms: x + -1x = 0
-7 + 6x = -4 + 0
-7 + 6x = -4

Add '7' to each side of the equation.
-7 + 7 + 6x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = -4 + 7
6x = -4 + 7

Combine like terms: -4 + 7 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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