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

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


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

Multiply 5 * -3
x + -15 = 2(x + -3) + -5

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

Reorder the terms:
-15 + x = 2(-3 + x) + -5
-15 + x = (-3 * 2 + x * 2) + -5
-15 + x = (-6 + 2x) + -5

Reorder the terms:
-15 + x = -6 + -5 + 2x

Combine like terms: -6 + -5 = -11
-15 + x = -11 + 2x

Solving
-15 + x = -11 + 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 + x + -2x = -11 + 2x + -2x

Combine like terms: x + -2x = -1x
-15 + -1x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -1x = -11 + 0
-15 + -1x = -11

Add '15' to each side of the equation.
-15 + 15 + -1x = -11 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -11 + 15
-1x = -11 + 15

Combine like terms: -11 + 15 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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