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

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


Simplifying
2(x + 5) + -1(x + -2) = 4x + 6

Reorder the terms:
2(5 + x) + -1(x + -2) = 4x + 6
(5 * 2 + x * 2) + -1(x + -2) = 4x + 6
(10 + 2x) + -1(x + -2) = 4x + 6

Reorder the terms:
10 + 2x + -1(-2 + x) = 4x + 6
10 + 2x + (-2 * -1 + x * -1) = 4x + 6
10 + 2x + (2 + -1x) = 4x + 6

Reorder the terms:
10 + 2 + 2x + -1x = 4x + 6

Combine like terms: 10 + 2 = 12
12 + 2x + -1x = 4x + 6

Combine like terms: 2x + -1x = 1x
12 + 1x = 4x + 6

Reorder the terms:
12 + 1x = 6 + 4x

Solving
12 + 1x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 1x + -4x = 6 + 4x + -4x

Combine like terms: 1x + -4x = -3x
12 + -3x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -3x = 6 + 0
12 + -3x = 6

Add '-12' to each side of the equation.
12 + -12 + -3x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 6 + -12
-3x = 6 + -12

Combine like terms: 6 + -12 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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