4(x+8)=6(x+6)+4

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Solution for 4(x+8)=6(x+6)+4 equation: 


Simplifying
4(x + 8) = 6(x + 6) + 4

Reorder the terms:
4(8 + x) = 6(x + 6) + 4
(8 * 4 + x * 4) = 6(x + 6) + 4
(32 + 4x) = 6(x + 6) + 4

Reorder the terms:
32 + 4x = 6(6 + x) + 4
32 + 4x = (6 * 6 + x * 6) + 4
32 + 4x = (36 + 6x) + 4

Reorder the terms:
32 + 4x = 36 + 4 + 6x

Combine like terms: 36 + 4 = 40
32 + 4x = 40 + 6x

Solving
32 + 4x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + 4x + -6x = 40 + 6x + -6x

Combine like terms: 4x + -6x = -2x
32 + -2x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -2x = 40 + 0
32 + -2x = 40

Add '-32' to each side of the equation.
32 + -32 + -2x = 40 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 40 + -32
-2x = 40 + -32

Combine like terms: 40 + -32 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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