7-2(x-1)=3(2x-1)+2

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Solution for 7-2(x-1)=3(2x-1)+2 equation: 


Simplifying
7 + -2(x + -1) = 3(2x + -1) + 2

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

Combine like terms: 7 + 2 = 9
9 + -2x = 3(2x + -1) + 2

Reorder the terms:
9 + -2x = 3(-1 + 2x) + 2
9 + -2x = (-1 * 3 + 2x * 3) + 2
9 + -2x = (-3 + 6x) + 2

Reorder the terms:
9 + -2x = -3 + 2 + 6x

Combine like terms: -3 + 2 = -1
9 + -2x = -1 + 6x

Solving
9 + -2x = -1 + 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.
9 + -2x + -6x = -1 + 6x + -6x

Combine like terms: -2x + -6x = -8x
9 + -8x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -8x = -1 + 0
9 + -8x = -1

Add '-9' to each side of the equation.
9 + -9 + -8x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -1 + -9
-8x = -1 + -9

Combine like terms: -1 + -9 = -10
-8x = -10

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

Simplifying
x = 1.25

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