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

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


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

Reorder the terms:
7x + 5 + -2(-3 + -2x) = 3(x + -1)
7x + 5 + (-3 * -2 + -2x * -2) = 3(x + -1)
7x + 5 + (6 + 4x) = 3(x + -1)

Reorder the terms:
5 + 6 + 7x + 4x = 3(x + -1)

Combine like terms: 5 + 6 = 11
11 + 7x + 4x = 3(x + -1)

Combine like terms: 7x + 4x = 11x
11 + 11x = 3(x + -1)

Reorder the terms:
11 + 11x = 3(-1 + x)
11 + 11x = (-1 * 3 + x * 3)
11 + 11x = (-3 + 3x)

Solving
11 + 11x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 11x + -3x = -3 + 3x + -3x

Combine like terms: 11x + -3x = 8x
11 + 8x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 8x = -3 + 0
11 + 8x = -3

Add '-11' to each side of the equation.
11 + -11 + 8x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = -3 + -11
8x = -3 + -11

Combine like terms: -3 + -11 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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