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

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


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

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

Combine like terms: 2 + 5 = 7
7 + -1x + 3x = 4(2x + -1)

Combine like terms: -1x + 3x = 2x
7 + 2x = 4(2x + -1)

Reorder the terms:
7 + 2x = 4(-1 + 2x)
7 + 2x = (-1 * 4 + 2x * 4)
7 + 2x = (-4 + 8x)

Solving
7 + 2x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 2x + -8x = -4 + 8x + -8x

Combine like terms: 2x + -8x = -6x
7 + -6x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 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 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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