5x-10=7(x-2)

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


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

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

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

Solving
-10 + 5x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 5x + -7x = -14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-10 + -2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -2x = -14 + 0
-10 + -2x = -14

Add '10' to each side of the equation.
-10 + 10 + -2x = -14 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -14 + 10
-2x = -14 + 10

Combine like terms: -14 + 10 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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