7x-10=5(x-4)

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Solution for 7x-10=5(x-4) equation:


Simplifying
7x + -10 = 5(x + -4)

Reorder the terms:
-10 + 7x = 5(x + -4)

Reorder the terms:
-10 + 7x = 5(-4 + x)
-10 + 7x = (-4 * 5 + x * 5)
-10 + 7x = (-20 + 5x)

Solving
-10 + 7x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 7x + -5x = -20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-10 + 2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 2x = -20 + 0
-10 + 2x = -20

Add '10' to each side of the equation.
-10 + 10 + 2x = -20 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -20 + 10
2x = -20 + 10

Combine like terms: -20 + 10 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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