4(x+3)=8(x+5)

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Solution for 4(x+3)=8(x+5) equation:


Simplifying
4(x + 3) = 8(x + 5)

Reorder the terms:
4(3 + x) = 8(x + 5)
(3 * 4 + x * 4) = 8(x + 5)
(12 + 4x) = 8(x + 5)

Reorder the terms:
12 + 4x = 8(5 + x)
12 + 4x = (5 * 8 + x * 8)
12 + 4x = (40 + 8x)

Solving
12 + 4x = 40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 4x + -8x = 40 + 8x + -8x

Combine like terms: 4x + -8x = -4x
12 + -4x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -4x = 40 + 0
12 + -4x = 40

Add '-12' to each side of the equation.
12 + -12 + -4x = 40 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 40 + -12
-4x = 40 + -12

Combine like terms: 40 + -12 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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