14-5(7-3x)=2(7-x)-8x

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Solution for 14-5(7-3x)=2(7-x)-8x equation:


Simplifying
14 + -5(7 + -3x) = 2(7 + -1x) + -8x
14 + (7 * -5 + -3x * -5) = 2(7 + -1x) + -8x
14 + (-35 + 15x) = 2(7 + -1x) + -8x

Combine like terms: 14 + -35 = -21
-21 + 15x = 2(7 + -1x) + -8x
-21 + 15x = (7 * 2 + -1x * 2) + -8x
-21 + 15x = (14 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-21 + 15x = 14 + -10x

Solving
-21 + 15x = 14 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-21 + 15x + 10x = 14 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-21 + 25x = 14 + -10x + 10x

Combine like terms: -10x + 10x = 0
-21 + 25x = 14 + 0
-21 + 25x = 14

Add '21' to each side of the equation.
-21 + 21 + 25x = 14 + 21

Combine like terms: -21 + 21 = 0
0 + 25x = 14 + 21
25x = 14 + 21

Combine like terms: 14 + 21 = 35
25x = 35

Divide each side by '25'.
x = 1.4

Simplifying
x = 1.4

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