2(x+5)-6x=3(x+2)+2

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Solution for 2(x+5)-6x=3(x+2)+2 equation:


Simplifying
2(x + 5) + -6x = 3(x + 2) + 2

Reorder the terms:
2(5 + x) + -6x = 3(x + 2) + 2
(5 * 2 + x * 2) + -6x = 3(x + 2) + 2
(10 + 2x) + -6x = 3(x + 2) + 2

Combine like terms: 2x + -6x = -4x
10 + -4x = 3(x + 2) + 2

Reorder the terms:
10 + -4x = 3(2 + x) + 2
10 + -4x = (2 * 3 + x * 3) + 2
10 + -4x = (6 + 3x) + 2

Reorder the terms:
10 + -4x = 6 + 2 + 3x

Combine like terms: 6 + 2 = 8
10 + -4x = 8 + 3x

Solving
10 + -4x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -4x + -3x = 8 + 3x + -3x

Combine like terms: -4x + -3x = -7x
10 + -7x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -7x = 8 + 0
10 + -7x = 8

Add '-10' to each side of the equation.
10 + -10 + -7x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 8 + -10
-7x = 8 + -10

Combine like terms: 8 + -10 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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