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

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


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

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

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

Reorder the terms:
7 + -2x = 3(-1 + 2x)
7 + -2x = (-1 * 3 + 2x * 3)
7 + -2x = (-3 + 6x)

Solving
7 + -2x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + -2x + -6x = -3 + 6x + -6x

Combine like terms: -2x + -6x = -8x
7 + -8x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -8x = -3 + 0
7 + -8x = -3

Add '-7' to each side of the equation.
7 + -7 + -8x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -3 + -7
-8x = -3 + -7

Combine like terms: -3 + -7 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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