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

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


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

Reorder the terms:
2x + -3(-5 + x) = 4 + -2(x + 4)
2x + (-5 * -3 + x * -3) = 4 + -2(x + 4)
2x + (15 + -3x) = 4 + -2(x + 4)

Reorder the terms:
15 + 2x + -3x = 4 + -2(x + 4)

Combine like terms: 2x + -3x = -1x
15 + -1x = 4 + -2(x + 4)

Reorder the terms:
15 + -1x = 4 + -2(4 + x)
15 + -1x = 4 + (4 * -2 + x * -2)
15 + -1x = 4 + (-8 + -2x)

Combine like terms: 4 + -8 = -4
15 + -1x = -4 + -2x

Solving
15 + -1x = -4 + -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.
15 + -1x + 2x = -4 + -2x + 2x

Combine like terms: -1x + 2x = 1x
15 + 1x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 1x = -4 + 0
15 + 1x = -4

Add '-15' to each side of the equation.
15 + -15 + 1x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -4 + -15
1x = -4 + -15

Combine like terms: -4 + -15 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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