2(x-3)+-5(x+10)=40

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Solution for 2(x-3)+-5(x+10)=40 equation:


Simplifying
2(x + -3) + -5(x + 10) = 40

Reorder the terms:
2(-3 + x) + -5(x + 10) = 40
(-3 * 2 + x * 2) + -5(x + 10) = 40
(-6 + 2x) + -5(x + 10) = 40

Reorder the terms:
-6 + 2x + -5(10 + x) = 40
-6 + 2x + (10 * -5 + x * -5) = 40
-6 + 2x + (-50 + -5x) = 40

Reorder the terms:
-6 + -50 + 2x + -5x = 40

Combine like terms: -6 + -50 = -56
-56 + 2x + -5x = 40

Combine like terms: 2x + -5x = -3x
-56 + -3x = 40

Solving
-56 + -3x = 40

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + -3x = 40 + 56

Combine like terms: -56 + 56 = 0
0 + -3x = 40 + 56
-3x = 40 + 56

Combine like terms: 40 + 56 = 96
-3x = 96

Divide each side by '-3'.
x = -32

Simplifying
x = -32

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