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

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


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

Reorder the terms:
2x + 5(1 + 2x) = 7(x + -1) + -3
2x + (1 * 5 + 2x * 5) = 7(x + -1) + -3
2x + (5 + 10x) = 7(x + -1) + -3

Reorder the terms:
5 + 2x + 10x = 7(x + -1) + -3

Combine like terms: 2x + 10x = 12x
5 + 12x = 7(x + -1) + -3

Reorder the terms:
5 + 12x = 7(-1 + x) + -3
5 + 12x = (-1 * 7 + x * 7) + -3
5 + 12x = (-7 + 7x) + -3

Reorder the terms:
5 + 12x = -7 + -3 + 7x

Combine like terms: -7 + -3 = -10
5 + 12x = -10 + 7x

Solving
5 + 12x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 12x + -7x = -10 + 7x + -7x

Combine like terms: 12x + -7x = 5x
5 + 5x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + 5x = -10 + 0
5 + 5x = -10

Add '-5' to each side of the equation.
5 + -5 + 5x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -10 + -5
5x = -10 + -5

Combine like terms: -10 + -5 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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