3x+5(x-2)=4x+6

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Solution for 3x+5(x-2)=4x+6 equation:


Simplifying
3x + 5(x + -2) = 4x + 6

Reorder the terms:
3x + 5(-2 + x) = 4x + 6
3x + (-2 * 5 + x * 5) = 4x + 6
3x + (-10 + 5x) = 4x + 6

Reorder the terms:
-10 + 3x + 5x = 4x + 6

Combine like terms: 3x + 5x = 8x
-10 + 8x = 4x + 6

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

Solving
-10 + 8x = 6 + 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 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-10 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 4x = 6 + 0
-10 + 4x = 6

Add '10' to each side of the equation.
-10 + 10 + 4x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 6 + 10
4x = 6 + 10

Combine like terms: 6 + 10 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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