7(4x-6)=6(8-3x)

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Solution for 7(4x-6)=6(8-3x) equation:


Simplifying
7(4x + -6) = 6(8 + -3x)

Reorder the terms:
7(-6 + 4x) = 6(8 + -3x)
(-6 * 7 + 4x * 7) = 6(8 + -3x)
(-42 + 28x) = 6(8 + -3x)
-42 + 28x = (8 * 6 + -3x * 6)
-42 + 28x = (48 + -18x)

Solving
-42 + 28x = 48 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-42 + 28x + 18x = 48 + -18x + 18x

Combine like terms: 28x + 18x = 46x
-42 + 46x = 48 + -18x + 18x

Combine like terms: -18x + 18x = 0
-42 + 46x = 48 + 0
-42 + 46x = 48

Add '42' to each side of the equation.
-42 + 42 + 46x = 48 + 42

Combine like terms: -42 + 42 = 0
0 + 46x = 48 + 42
46x = 48 + 42

Combine like terms: 48 + 42 = 90
46x = 90

Divide each side by '46'.
x = 1.956521739

Simplifying
x = 1.956521739

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