4(x+5)=10(x-3)

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Solution for 4(x+5)=10(x-3) equation:


Simplifying
4(x + 5) = 10(x + -3)

Reorder the terms:
4(5 + x) = 10(x + -3)
(5 * 4 + x * 4) = 10(x + -3)
(20 + 4x) = 10(x + -3)

Reorder the terms:
20 + 4x = 10(-3 + x)
20 + 4x = (-3 * 10 + x * 10)
20 + 4x = (-30 + 10x)

Solving
20 + 4x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + 4x + -10x = -30 + 10x + -10x

Combine like terms: 4x + -10x = -6x
20 + -6x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + -6x = -30 + 0
20 + -6x = -30

Add '-20' to each side of the equation.
20 + -20 + -6x = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -30 + -20
-6x = -30 + -20

Combine like terms: -30 + -20 = -50
-6x = -50

Divide each side by '-6'.
x = 8.333333333

Simplifying
x = 8.333333333

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