4(6-x)=7-5x

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Solution for 4(6-x)=7-5x equation:


Simplifying
4(6 + -1x) = 7 + -5x
(6 * 4 + -1x * 4) = 7 + -5x
(24 + -4x) = 7 + -5x

Solving
24 + -4x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
24 + -4x + 5x = 7 + -5x + 5x

Combine like terms: -4x + 5x = 1x
24 + 1x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
24 + 1x = 7 + 0
24 + 1x = 7

Add '-24' to each side of the equation.
24 + -24 + 1x = 7 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 7 + -24
1x = 7 + -24

Combine like terms: 7 + -24 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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