4(x+6)=7x-4

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


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

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

Reorder the terms:
24 + 4x = -4 + 7x

Solving
24 + 4x = -4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 4x + -7x = -4 + 7x + -7x

Combine like terms: 4x + -7x = -3x
24 + -3x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -3x = -4 + 0
24 + -3x = -4

Add '-24' to each side of the equation.
24 + -24 + -3x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -4 + -24
-3x = -4 + -24

Combine like terms: -4 + -24 = -28
-3x = -28

Divide each side by '-3'.
x = 9.333333333

Simplifying
x = 9.333333333

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