7x-1-(2x+5)=-(x-3)

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Solution for 7x-1-(2x+5)=-(x-3) equation:


Simplifying
7x + -1 + -1(2x + 5) = -1(x + -3)

Reorder the terms:
7x + -1 + -1(5 + 2x) = -1(x + -3)
7x + -1 + (5 * -1 + 2x * -1) = -1(x + -3)
7x + -1 + (-5 + -2x) = -1(x + -3)

Reorder the terms:
-1 + -5 + 7x + -2x = -1(x + -3)

Combine like terms: -1 + -5 = -6
-6 + 7x + -2x = -1(x + -3)

Combine like terms: 7x + -2x = 5x
-6 + 5x = -1(x + -3)

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

Solving
-6 + 5x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = 3 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 3 + -1x + x

Combine like terms: -1x + x = 0
-6 + 6x = 3 + 0
-6 + 6x = 3

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

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

Combine like terms: 3 + 6 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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