4-(2x-6)=9+3(x+7)

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Solution for 4-(2x-6)=9+3(x+7) equation:


Simplifying
4 + -1(2x + -6) = 9 + 3(x + 7)

Reorder the terms:
4 + -1(-6 + 2x) = 9 + 3(x + 7)
4 + (-6 * -1 + 2x * -1) = 9 + 3(x + 7)
4 + (6 + -2x) = 9 + 3(x + 7)

Combine like terms: 4 + 6 = 10
10 + -2x = 9 + 3(x + 7)

Reorder the terms:
10 + -2x = 9 + 3(7 + x)
10 + -2x = 9 + (7 * 3 + x * 3)
10 + -2x = 9 + (21 + 3x)

Combine like terms: 9 + 21 = 30
10 + -2x = 30 + 3x

Solving
10 + -2x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -2x + -3x = 30 + 3x + -3x

Combine like terms: -2x + -3x = -5x
10 + -5x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -5x = 30 + 0
10 + -5x = 30

Add '-10' to each side of the equation.
10 + -10 + -5x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 30 + -10
-5x = 30 + -10

Combine like terms: 30 + -10 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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