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

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


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

Reorder the terms:
2(5 + 2x) + -3 = -3(x + -1)
(5 * 2 + 2x * 2) + -3 = -3(x + -1)
(10 + 4x) + -3 = -3(x + -1)

Reorder the terms:
10 + -3 + 4x = -3(x + -1)

Combine like terms: 10 + -3 = 7
7 + 4x = -3(x + -1)

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

Solving
7 + 4x = 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.
7 + 4x + 3x = 3 + -3x + 3x

Combine like terms: 4x + 3x = 7x
7 + 7x = 3 + -3x + 3x

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

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

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

Combine like terms: 3 + -7 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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