5x-10=7(x+4)

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


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

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

Reorder the terms:
-10 + 5x = 7(4 + x)
-10 + 5x = (4 * 7 + x * 7)
-10 + 5x = (28 + 7x)

Solving
-10 + 5x = 28 + 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 = 28 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-10 + -2x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -2x = 28 + 0
-10 + -2x = 28

Add '10' to each side of the equation.
-10 + 10 + -2x = 28 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 28 + 10
-2x = 28 + 10

Combine like terms: 28 + 10 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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