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

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


Simplifying
2(x + -5) = 7(2x + -7) + -5

Reorder the terms:
2(-5 + x) = 7(2x + -7) + -5
(-5 * 2 + x * 2) = 7(2x + -7) + -5
(-10 + 2x) = 7(2x + -7) + -5

Reorder the terms:
-10 + 2x = 7(-7 + 2x) + -5
-10 + 2x = (-7 * 7 + 2x * 7) + -5
-10 + 2x = (-49 + 14x) + -5

Reorder the terms:
-10 + 2x = -49 + -5 + 14x

Combine like terms: -49 + -5 = -54
-10 + 2x = -54 + 14x

Solving
-10 + 2x = -54 + 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.
-10 + 2x + -14x = -54 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-10 + -12x = -54 + 14x + -14x

Combine like terms: 14x + -14x = 0
-10 + -12x = -54 + 0
-10 + -12x = -54

Add '10' to each side of the equation.
-10 + 10 + -12x = -54 + 10

Combine like terms: -10 + 10 = 0
0 + -12x = -54 + 10
-12x = -54 + 10

Combine like terms: -54 + 10 = -44
-12x = -44

Divide each side by '-12'.
x = 3.666666667

Simplifying
x = 3.666666667

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