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

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


Simplifying
2(5 + x) + -3x = -4(2 + x)
(5 * 2 + x * 2) + -3x = -4(2 + x)
(10 + 2x) + -3x = -4(2 + x)

Combine like terms: 2x + -3x = -1x
10 + -1x = -4(2 + x)
10 + -1x = (2 * -4 + x * -4)
10 + -1x = (-8 + -4x)

Solving
10 + -1x = -8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -1x + 4x = -8 + -4x + 4x

Combine like terms: -1x + 4x = 3x
10 + 3x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 3x = -8 + 0
10 + 3x = -8

Add '-10' to each side of the equation.
10 + -10 + 3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -8 + -10
3x = -8 + -10

Combine like terms: -8 + -10 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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