5x-10=4(x+8)+6

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Solution for 5x-10=4(x+8)+6 equation:


Simplifying
5x + -10 = 4(x + 8) + 6

Reorder the terms:
-10 + 5x = 4(x + 8) + 6

Reorder the terms:
-10 + 5x = 4(8 + x) + 6
-10 + 5x = (8 * 4 + x * 4) + 6
-10 + 5x = (32 + 4x) + 6

Reorder the terms:
-10 + 5x = 32 + 6 + 4x

Combine like terms: 32 + 6 = 38
-10 + 5x = 38 + 4x

Solving
-10 + 5x = 38 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 5x + -4x = 38 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = 38 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = 38 + 0
-10 + 1x = 38

Add '10' to each side of the equation.
-10 + 10 + 1x = 38 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 38 + 10
1x = 38 + 10

Combine like terms: 38 + 10 = 48
1x = 48

Divide each side by '1'.
x = 48

Simplifying
x = 48

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