10(x+3)=4(2x-1)

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Solution for 10(x+3)=4(2x-1) equation:


Simplifying
10(x + 3) = 4(2x + -1)

Reorder the terms:
10(3 + x) = 4(2x + -1)
(3 * 10 + x * 10) = 4(2x + -1)
(30 + 10x) = 4(2x + -1)

Reorder the terms:
30 + 10x = 4(-1 + 2x)
30 + 10x = (-1 * 4 + 2x * 4)
30 + 10x = (-4 + 8x)

Solving
30 + 10x = -4 + 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.
30 + 10x + -8x = -4 + 8x + -8x

Combine like terms: 10x + -8x = 2x
30 + 2x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 2x = -4 + 0
30 + 2x = -4

Add '-30' to each side of the equation.
30 + -30 + 2x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -4 + -30
2x = -4 + -30

Combine like terms: -4 + -30 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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