10(x+5)=2x+5

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Solution for 10(x+5)=2x+5 equation:


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

Reorder the terms:
10(5 + x) = 2x + 5
(5 * 10 + x * 10) = 2x + 5
(50 + 10x) = 2x + 5

Reorder the terms:
50 + 10x = 5 + 2x

Solving
50 + 10x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
50 + 10x + -2x = 5 + 2x + -2x

Combine like terms: 10x + -2x = 8x
50 + 8x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
50 + 8x = 5 + 0
50 + 8x = 5

Add '-50' to each side of the equation.
50 + -50 + 8x = 5 + -50

Combine like terms: 50 + -50 = 0
0 + 8x = 5 + -50
8x = 5 + -50

Combine like terms: 5 + -50 = -45
8x = -45

Divide each side by '8'.
x = -5.625

Simplifying
x = -5.625

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