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

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


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

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

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

Reorder the terms:
3 + 5x = -5 + 7x + -10x

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

Solving
3 + 5x = -5 + -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.
3 + 5x + 3x = -5 + -3x + 3x

Combine like terms: 5x + 3x = 8x
3 + 8x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 8x = -5 + 0
3 + 8x = -5

Add '-3' to each side of the equation.
3 + -3 + 8x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = -5 + -3
8x = -5 + -3

Combine like terms: -5 + -3 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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