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

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


Simplifying
2(7 + -2x) = -3(x + -5)
(7 * 2 + -2x * 2) = -3(x + -5)
(14 + -4x) = -3(x + -5)

Reorder the terms:
14 + -4x = -3(-5 + x)
14 + -4x = (-5 * -3 + x * -3)
14 + -4x = (15 + -3x)

Solving
14 + -4x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + -4x + 3x = 15 + -3x + 3x

Combine like terms: -4x + 3x = -1x
14 + -1x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + -1x = 15 + 0
14 + -1x = 15

Add '-14' to each side of the equation.
14 + -14 + -1x = 15 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 15 + -14
-1x = 15 + -14

Combine like terms: 15 + -14 = 1
-1x = 1

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

Simplifying
x = -1

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