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

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


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

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

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

Combine like terms: 6 + -7 = -1
-1 + 4x = 23 + -5(x + 3x)

Combine like terms: x + 3x = 4x
-1 + 4x = 23 + -5(4x)

Remove parenthesis around (4x)
-1 + 4x = 23 + -5 * 4x

Multiply -5 * 4
-1 + 4x = 23 + -20x

Solving
-1 + 4x = 23 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-1 + 4x + 20x = 23 + -20x + 20x

Combine like terms: 4x + 20x = 24x
-1 + 24x = 23 + -20x + 20x

Combine like terms: -20x + 20x = 0
-1 + 24x = 23 + 0
-1 + 24x = 23

Add '1' to each side of the equation.
-1 + 1 + 24x = 23 + 1

Combine like terms: -1 + 1 = 0
0 + 24x = 23 + 1
24x = 23 + 1

Combine like terms: 23 + 1 = 24
24x = 24

Divide each side by '24'.
x = 1

Simplifying
x = 1

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