10(x+5)=4(2x-5)

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Solution for 10(x+5)=4(2x-5) equation:


Simplifying
10(x + 5) = 4(2x + -5)

Reorder the terms:
10(5 + x) = 4(2x + -5)
(5 * 10 + x * 10) = 4(2x + -5)
(50 + 10x) = 4(2x + -5)

Reorder the terms:
50 + 10x = 4(-5 + 2x)
50 + 10x = (-5 * 4 + 2x * 4)
50 + 10x = (-20 + 8x)

Solving
50 + 10x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
50 + 10x + -8x = -20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
50 + 2x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
50 + 2x = -20 + 0
50 + 2x = -20

Add '-50' to each side of the equation.
50 + -50 + 2x = -20 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = -20 + -50
2x = -20 + -50

Combine like terms: -20 + -50 = -70
2x = -70

Divide each side by '2'.
x = -35

Simplifying
x = -35

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