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

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


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

Reorder the terms:
4(6 + x) + -7(x + 6) = 5(x + 6) + -3(x + 6)
(6 * 4 + x * 4) + -7(x + 6) = 5(x + 6) + -3(x + 6)
(24 + 4x) + -7(x + 6) = 5(x + 6) + -3(x + 6)

Reorder the terms:
24 + 4x + -7(6 + x) = 5(x + 6) + -3(x + 6)
24 + 4x + (6 * -7 + x * -7) = 5(x + 6) + -3(x + 6)
24 + 4x + (-42 + -7x) = 5(x + 6) + -3(x + 6)

Reorder the terms:
24 + -42 + 4x + -7x = 5(x + 6) + -3(x + 6)

Combine like terms: 24 + -42 = -18
-18 + 4x + -7x = 5(x + 6) + -3(x + 6)

Combine like terms: 4x + -7x = -3x
-18 + -3x = 5(x + 6) + -3(x + 6)

Reorder the terms:
-18 + -3x = 5(6 + x) + -3(x + 6)
-18 + -3x = (6 * 5 + x * 5) + -3(x + 6)
-18 + -3x = (30 + 5x) + -3(x + 6)

Reorder the terms:
-18 + -3x = 30 + 5x + -3(6 + x)
-18 + -3x = 30 + 5x + (6 * -3 + x * -3)
-18 + -3x = 30 + 5x + (-18 + -3x)

Reorder the terms:
-18 + -3x = 30 + -18 + 5x + -3x

Combine like terms: 30 + -18 = 12
-18 + -3x = 12 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-18 + -3x = 12 + 2x

Solving
-18 + -3x = 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.
-18 + -3x + -2x = 12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-18 + -5x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + -5x = 12 + 0
-18 + -5x = 12

Add '18' to each side of the equation.
-18 + 18 + -5x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = 12 + 18
-5x = 12 + 18

Combine like terms: 12 + 18 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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