4(x+5)+12=8(x+1)+12

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Solution for 4(x+5)+12=8(x+1)+12 equation:


Simplifying
4(x + 5) + 12 = 8(x + 1) + 12

Reorder the terms:
4(5 + x) + 12 = 8(x + 1) + 12
(5 * 4 + x * 4) + 12 = 8(x + 1) + 12
(20 + 4x) + 12 = 8(x + 1) + 12

Reorder the terms:
20 + 12 + 4x = 8(x + 1) + 12

Combine like terms: 20 + 12 = 32
32 + 4x = 8(x + 1) + 12

Reorder the terms:
32 + 4x = 8(1 + x) + 12
32 + 4x = (1 * 8 + x * 8) + 12
32 + 4x = (8 + 8x) + 12

Reorder the terms:
32 + 4x = 8 + 12 + 8x

Combine like terms: 8 + 12 = 20
32 + 4x = 20 + 8x

Solving
32 + 4x = 20 + 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.
32 + 4x + -8x = 20 + 8x + -8x

Combine like terms: 4x + -8x = -4x
32 + -4x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -4x = 20 + 0
32 + -4x = 20

Add '-32' to each side of the equation.
32 + -32 + -4x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 20 + -32
-4x = 20 + -32

Combine like terms: 20 + -32 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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