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

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


Simplifying
2(x + -3) + 5(-1x) = -2x + 4

Reorder the terms:
2(-3 + x) + 5(-1x) = -2x + 4
(-3 * 2 + x * 2) + 5(-1x) = -2x + 4
(-6 + 2x) + 5(-1x) = -2x + 4

Remove parenthesis around (-1x)
-6 + 2x + 5 * -1x = -2x + 4

Multiply 5 * -1
-6 + 2x + -5x = -2x + 4

Combine like terms: 2x + -5x = -3x
-6 + -3x = -2x + 4

Reorder the terms:
-6 + -3x = 4 + -2x

Solving
-6 + -3x = 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.
-6 + -3x + 2x = 4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-6 + -1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + -1x = 4 + 0
-6 + -1x = 4

Add '6' to each side of the equation.
-6 + 6 + -1x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 4 + 6
-1x = 4 + 6

Combine like terms: 4 + 6 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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