2(x-4)+7=5x+23

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Solution for 2(x-4)+7=5x+23 equation:


Simplifying
2(x + -4) + 7 = 5x + 23

Reorder the terms:
2(-4 + x) + 7 = 5x + 23
(-4 * 2 + x * 2) + 7 = 5x + 23
(-8 + 2x) + 7 = 5x + 23

Reorder the terms:
-8 + 7 + 2x = 5x + 23

Combine like terms: -8 + 7 = -1
-1 + 2x = 5x + 23

Reorder the terms:
-1 + 2x = 23 + 5x

Solving
-1 + 2x = 23 + 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.
-1 + 2x + -5x = 23 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-1 + -3x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -3x = 23 + 0
-1 + -3x = 23

Add '1' to each side of the equation.
-1 + 1 + -3x = 23 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 23 + 1
-3x = 23 + 1

Combine like terms: 23 + 1 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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