5x+-2*(x+6)+2=4*(x-2)+13

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Solution for 5x+-2*(x+6)+2=4*(x-2)+13 equation:


Simplifying
5x + -2(x + 6) + 2 = 4(x + -2) + 13

Reorder the terms:
5x + -2(6 + x) + 2 = 4(x + -2) + 13
5x + (6 * -2 + x * -2) + 2 = 4(x + -2) + 13
5x + (-12 + -2x) + 2 = 4(x + -2) + 13

Reorder the terms:
-12 + 2 + 5x + -2x = 4(x + -2) + 13

Combine like terms: -12 + 2 = -10
-10 + 5x + -2x = 4(x + -2) + 13

Combine like terms: 5x + -2x = 3x
-10 + 3x = 4(x + -2) + 13

Reorder the terms:
-10 + 3x = 4(-2 + x) + 13
-10 + 3x = (-2 * 4 + x * 4) + 13
-10 + 3x = (-8 + 4x) + 13

Reorder the terms:
-10 + 3x = -8 + 13 + 4x

Combine like terms: -8 + 13 = 5
-10 + 3x = 5 + 4x

Solving
-10 + 3x = 5 + 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.
-10 + 3x + -4x = 5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-10 + -1x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -1x = 5 + 0
-10 + -1x = 5

Add '10' to each side of the equation.
-10 + 10 + -1x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 5 + 10
-1x = 5 + 10

Combine like terms: 5 + 10 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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