4x+6(4x-3)=8x-14

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Solution for 4x+6(4x-3)=8x-14 equation:


Simplifying
4x + 6(4x + -3) = 8x + -14

Reorder the terms:
4x + 6(-3 + 4x) = 8x + -14
4x + (-3 * 6 + 4x * 6) = 8x + -14
4x + (-18 + 24x) = 8x + -14

Reorder the terms:
-18 + 4x + 24x = 8x + -14

Combine like terms: 4x + 24x = 28x
-18 + 28x = 8x + -14

Reorder the terms:
-18 + 28x = -14 + 8x

Solving
-18 + 28x = -14 + 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.
-18 + 28x + -8x = -14 + 8x + -8x

Combine like terms: 28x + -8x = 20x
-18 + 20x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + 20x = -14 + 0
-18 + 20x = -14

Add '18' to each side of the equation.
-18 + 18 + 20x = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 20x = -14 + 18
20x = -14 + 18

Combine like terms: -14 + 18 = 4
20x = 4

Divide each side by '20'.
x = 0.2

Simplifying
x = 0.2

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