2(x-3)-5=6+7(x+4)

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Solution for 2(x-3)-5=6+7(x+4) equation:


Simplifying
2(x + -3) + -5 = 6 + 7(x + 4)

Reorder the terms:
2(-3 + x) + -5 = 6 + 7(x + 4)
(-3 * 2 + x * 2) + -5 = 6 + 7(x + 4)
(-6 + 2x) + -5 = 6 + 7(x + 4)

Reorder the terms:
-6 + -5 + 2x = 6 + 7(x + 4)

Combine like terms: -6 + -5 = -11
-11 + 2x = 6 + 7(x + 4)

Reorder the terms:
-11 + 2x = 6 + 7(4 + x)
-11 + 2x = 6 + (4 * 7 + x * 7)
-11 + 2x = 6 + (28 + 7x)

Combine like terms: 6 + 28 = 34
-11 + 2x = 34 + 7x

Solving
-11 + 2x = 34 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + 2x + -7x = 34 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-11 + -5x = 34 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -5x = 34 + 0
-11 + -5x = 34

Add '11' to each side of the equation.
-11 + 11 + -5x = 34 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 34 + 11
-5x = 34 + 11

Combine like terms: 34 + 11 = 45
-5x = 45

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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