14(4x-3)=8x-9

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Solution for 14(4x-3)=8x-9 equation:


Simplifying
14(4x + -3) = 8x + -9

Reorder the terms:
14(-3 + 4x) = 8x + -9
(-3 * 14 + 4x * 14) = 8x + -9
(-42 + 56x) = 8x + -9

Reorder the terms:
-42 + 56x = -9 + 8x

Solving
-42 + 56x = -9 + 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.
-42 + 56x + -8x = -9 + 8x + -8x

Combine like terms: 56x + -8x = 48x
-42 + 48x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-42 + 48x = -9 + 0
-42 + 48x = -9

Add '42' to each side of the equation.
-42 + 42 + 48x = -9 + 42

Combine like terms: -42 + 42 = 0
0 + 48x = -9 + 42
48x = -9 + 42

Combine like terms: -9 + 42 = 33
48x = 33

Divide each side by '48'.
x = 0.6875

Simplifying
x = 0.6875

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