7(2x+3)-23=-x+5(2x+1)

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Solution for 7(2x+3)-23=-x+5(2x+1) equation:


Simplifying
7(2x + 3) + -23 = -1x + 5(2x + 1)

Reorder the terms:
7(3 + 2x) + -23 = -1x + 5(2x + 1)
(3 * 7 + 2x * 7) + -23 = -1x + 5(2x + 1)
(21 + 14x) + -23 = -1x + 5(2x + 1)

Reorder the terms:
21 + -23 + 14x = -1x + 5(2x + 1)

Combine like terms: 21 + -23 = -2
-2 + 14x = -1x + 5(2x + 1)

Reorder the terms:
-2 + 14x = -1x + 5(1 + 2x)
-2 + 14x = -1x + (1 * 5 + 2x * 5)
-2 + 14x = -1x + (5 + 10x)

Reorder the terms:
-2 + 14x = 5 + -1x + 10x

Combine like terms: -1x + 10x = 9x
-2 + 14x = 5 + 9x

Solving
-2 + 14x = 5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 14x + -9x = 5 + 9x + -9x

Combine like terms: 14x + -9x = 5x
-2 + 5x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 5x = 5 + 0
-2 + 5x = 5

Add '2' to each side of the equation.
-2 + 2 + 5x = 5 + 2

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

Combine like terms: 5 + 2 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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