2(x-5)+3(2x-9)=-5

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Solution for 2(x-5)+3(2x-9)=-5 equation: 


Simplifying
2(x + -5) + 3(2x + -9) = -5

Reorder the terms:
2(-5 + x) + 3(2x + -9) = -5
(-5 * 2 + x * 2) + 3(2x + -9) = -5
(-10 + 2x) + 3(2x + -9) = -5

Reorder the terms:
-10 + 2x + 3(-9 + 2x) = -5
-10 + 2x + (-9 * 3 + 2x * 3) = -5
-10 + 2x + (-27 + 6x) = -5

Reorder the terms:
-10 + -27 + 2x + 6x = -5

Combine like terms: -10 + -27 = -37
-37 + 2x + 6x = -5

Combine like terms: 2x + 6x = 8x
-37 + 8x = -5

Solving
-37 + 8x = -5

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 8x = -5 + 37

Combine like terms: -37 + 37 = 0
0 + 8x = -5 + 37
8x = -5 + 37

Combine like terms: -5 + 37 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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