10(x-5)=7x-20

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Solution for 10(x-5)=7x-20 equation:


Simplifying
10(x + -5) = 7x + -20

Reorder the terms:
10(-5 + x) = 7x + -20
(-5 * 10 + x * 10) = 7x + -20
(-50 + 10x) = 7x + -20

Reorder the terms:
-50 + 10x = -20 + 7x

Solving
-50 + 10x = -20 + 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.
-50 + 10x + -7x = -20 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-50 + 3x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-50 + 3x = -20 + 0
-50 + 3x = -20

Add '50' to each side of the equation.
-50 + 50 + 3x = -20 + 50

Combine like terms: -50 + 50 = 0
0 + 3x = -20 + 50
3x = -20 + 50

Combine like terms: -20 + 50 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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