7(x-4)=5x+10

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


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

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

Reorder the terms:
-28 + 7x = 10 + 5x

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

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

Combine like terms: 5x + -5x = 0
-28 + 2x = 10 + 0
-28 + 2x = 10

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

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

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

Divide each side by '2'.
x = 19

Simplifying
x = 19

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