2(x-3)+7=13-4(x+6)

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Solution for 2(x-3)+7=13-4(x+6) equation:


Simplifying
2(x + -3) + 7 = 13 + -4(x + 6)

Reorder the terms:
2(-3 + x) + 7 = 13 + -4(x + 6)
(-3 * 2 + x * 2) + 7 = 13 + -4(x + 6)
(-6 + 2x) + 7 = 13 + -4(x + 6)

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

Combine like terms: -6 + 7 = 1
1 + 2x = 13 + -4(x + 6)

Reorder the terms:
1 + 2x = 13 + -4(6 + x)
1 + 2x = 13 + (6 * -4 + x * -4)
1 + 2x = 13 + (-24 + -4x)

Combine like terms: 13 + -24 = -11
1 + 2x = -11 + -4x

Solving
1 + 2x = -11 + -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.
1 + 2x + 4x = -11 + -4x + 4x

Combine like terms: 2x + 4x = 6x
1 + 6x = -11 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 6x = -11 + 0
1 + 6x = -11

Add '-1' to each side of the equation.
1 + -1 + 6x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -11 + -1
6x = -11 + -1

Combine like terms: -11 + -1 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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