3-5(2-x)=7(2x+1)

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Solution for 3-5(2-x)=7(2x+1) equation:


Simplifying
3 + -5(2 + -1x) = 7(2x + 1)
3 + (2 * -5 + -1x * -5) = 7(2x + 1)
3 + (-10 + 5x) = 7(2x + 1)

Combine like terms: 3 + -10 = -7
-7 + 5x = 7(2x + 1)

Reorder the terms:
-7 + 5x = 7(1 + 2x)
-7 + 5x = (1 * 7 + 2x * 7)
-7 + 5x = (7 + 14x)

Solving
-7 + 5x = 7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-7 + 5x + -14x = 7 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-7 + -9x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-7 + -9x = 7 + 0
-7 + -9x = 7

Add '7' to each side of the equation.
-7 + 7 + -9x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = 7 + 7
-9x = 7 + 7

Combine like terms: 7 + 7 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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