4(x+16)-7(x+6)=5(x+6)-3(x+6)

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Solution for 4(x+16)-7(x+6)=5(x+6)-3(x+6) equation: 


Simplifying
4(x + 16) + -7(x + 6) = 5(x + 6) + -3(x + 6)

Reorder the terms:
4(16 + x) + -7(x + 6) = 5(x + 6) + -3(x + 6)
(16 * 4 + x * 4) + -7(x + 6) = 5(x + 6) + -3(x + 6)
(64 + 4x) + -7(x + 6) = 5(x + 6) + -3(x + 6)

Reorder the terms:
64 + 4x + -7(6 + x) = 5(x + 6) + -3(x + 6)
64 + 4x + (6 * -7 + x * -7) = 5(x + 6) + -3(x + 6)
64 + 4x + (-42 + -7x) = 5(x + 6) + -3(x + 6)

Reorder the terms:
64 + -42 + 4x + -7x = 5(x + 6) + -3(x + 6)

Combine like terms: 64 + -42 = 22
22 + 4x + -7x = 5(x + 6) + -3(x + 6)

Combine like terms: 4x + -7x = -3x
22 + -3x = 5(x + 6) + -3(x + 6)

Reorder the terms:
22 + -3x = 5(6 + x) + -3(x + 6)
22 + -3x = (6 * 5 + x * 5) + -3(x + 6)
22 + -3x = (30 + 5x) + -3(x + 6)

Reorder the terms:
22 + -3x = 30 + 5x + -3(6 + x)
22 + -3x = 30 + 5x + (6 * -3 + x * -3)
22 + -3x = 30 + 5x + (-18 + -3x)

Reorder the terms:
22 + -3x = 30 + -18 + 5x + -3x

Combine like terms: 30 + -18 = 12
22 + -3x = 12 + 5x + -3x

Combine like terms: 5x + -3x = 2x
22 + -3x = 12 + 2x

Solving
22 + -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.
22 + -3x + -2x = 12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
22 + -5x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -5x = 12 + 0
22 + -5x = 12

Add '-22' to each side of the equation.
22 + -22 + -5x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 12 + -22
-5x = 12 + -22

Combine like terms: 12 + -22 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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