6(x-4)+8=4(x+7)+6

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Solution for 6(x-4)+8=4(x+7)+6 equation: 


Simplifying
6(x + -4) + 8 = 4(x + 7) + 6

Reorder the terms:
6(-4 + x) + 8 = 4(x + 7) + 6
(-4 * 6 + x * 6) + 8 = 4(x + 7) + 6
(-24 + 6x) + 8 = 4(x + 7) + 6

Reorder the terms:
-24 + 8 + 6x = 4(x + 7) + 6

Combine like terms: -24 + 8 = -16
-16 + 6x = 4(x + 7) + 6

Reorder the terms:
-16 + 6x = 4(7 + x) + 6
-16 + 6x = (7 * 4 + x * 4) + 6
-16 + 6x = (28 + 4x) + 6

Reorder the terms:
-16 + 6x = 28 + 6 + 4x

Combine like terms: 28 + 6 = 34
-16 + 6x = 34 + 4x

Solving
-16 + 6x = 34 + 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.
-16 + 6x + -4x = 34 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-16 + 2x = 34 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 2x = 34 + 0
-16 + 2x = 34

Add '16' to each side of the equation.
-16 + 16 + 2x = 34 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 34 + 16
2x = 34 + 16

Combine like terms: 34 + 16 = 50
2x = 50

Divide each side by '2'.
x = 25

Simplifying
x = 25

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