4(2x+10)=10(x+3)

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Solution for 4(2x+10)=10(x+3) equation:


Simplifying
4(2x + 10) = 10(x + 3)

Reorder the terms:
4(10 + 2x) = 10(x + 3)
(10 * 4 + 2x * 4) = 10(x + 3)
(40 + 8x) = 10(x + 3)

Reorder the terms:
40 + 8x = 10(3 + x)
40 + 8x = (3 * 10 + x * 10)
40 + 8x = (30 + 10x)

Solving
40 + 8x = 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.
40 + 8x + -10x = 30 + 10x + -10x

Combine like terms: 8x + -10x = -2x
40 + -2x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
40 + -2x = 30 + 0
40 + -2x = 30

Add '-40' to each side of the equation.
40 + -40 + -2x = 30 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = 30 + -40
-2x = 30 + -40

Combine like terms: 30 + -40 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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