2(2x+3)-7x=23-5(x+3)

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Solution for 2(2x+3)-7x=23-5(x+3) equation:


Simplifying
2(2x + 3) + -7x = 23 + -5(x + 3)

Reorder the terms:
2(3 + 2x) + -7x = 23 + -5(x + 3)
(3 * 2 + 2x * 2) + -7x = 23 + -5(x + 3)
(6 + 4x) + -7x = 23 + -5(x + 3)

Combine like terms: 4x + -7x = -3x
6 + -3x = 23 + -5(x + 3)

Reorder the terms:
6 + -3x = 23 + -5(3 + x)
6 + -3x = 23 + (3 * -5 + x * -5)
6 + -3x = 23 + (-15 + -5x)

Combine like terms: 23 + -15 = 8
6 + -3x = 8 + -5x

Solving
6 + -3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
6 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 2x = 8 + 0
6 + 2x = 8

Add '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6

Combine like terms: 8 + -6 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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