10(x-1)=2(7x-5)

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Solution for 10(x-1)=2(7x-5) equation:


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

Reorder the terms:
10(-1 + x) = 2(7x + -5)
(-1 * 10 + x * 10) = 2(7x + -5)
(-10 + 10x) = 2(7x + -5)

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

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

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

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

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

Combine like terms: 10x + -14x = -4x
-4x = 14x + -14x

Combine like terms: 14x + -14x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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