2x-(4x+13)+7=2(x+6)

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Solution for 2x-(4x+13)+7=2(x+6) equation:


Simplifying
2x + -1(4x + 13) + 7 = 2(x + 6)

Reorder the terms:
2x + -1(13 + 4x) + 7 = 2(x + 6)
2x + (13 * -1 + 4x * -1) + 7 = 2(x + 6)
2x + (-13 + -4x) + 7 = 2(x + 6)

Reorder the terms:
-13 + 7 + 2x + -4x = 2(x + 6)

Combine like terms: -13 + 7 = -6
-6 + 2x + -4x = 2(x + 6)

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

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

Solving
-6 + -2x = 12 + 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.
-6 + -2x + -2x = 12 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + -4x = 12 + 0
-6 + -4x = 12

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

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

Combine like terms: 12 + 6 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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