5(x-2)+6=2(x+4)-5

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Solution for 5(x-2)+6=2(x+4)-5 equation:


Simplifying
5(x + -2) + 6 = 2(x + 4) + -5

Reorder the terms:
5(-2 + x) + 6 = 2(x + 4) + -5
(-2 * 5 + x * 5) + 6 = 2(x + 4) + -5
(-10 + 5x) + 6 = 2(x + 4) + -5

Reorder the terms:
-10 + 6 + 5x = 2(x + 4) + -5

Combine like terms: -10 + 6 = -4
-4 + 5x = 2(x + 4) + -5

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

Reorder the terms:
-4 + 5x = 8 + -5 + 2x

Combine like terms: 8 + -5 = 3
-4 + 5x = 3 + 2x

Solving
-4 + 5x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 5x + -2x = 3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-4 + 3x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 3x = 3 + 0
-4 + 3x = 3

Add '4' to each side of the equation.
-4 + 4 + 3x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 3 + 4
3x = 3 + 4

Combine like terms: 3 + 4 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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