2(5x+3)=2(x-4)

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Solution for 2(5x+3)=2(x-4) equation:


Simplifying
2(5x + 3) = 2(x + -4)

Reorder the terms:
2(3 + 5x) = 2(x + -4)
(3 * 2 + 5x * 2) = 2(x + -4)
(6 + 10x) = 2(x + -4)

Reorder the terms:
6 + 10x = 2(-4 + x)
6 + 10x = (-4 * 2 + x * 2)
6 + 10x = (-8 + 2x)

Solving
6 + 10x = -8 + 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.
6 + 10x + -2x = -8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
6 + 8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 8x = -8 + 0
6 + 8x = -8

Add '-6' to each side of the equation.
6 + -6 + 8x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -8 + -6
8x = -8 + -6

Combine like terms: -8 + -6 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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