8x+2(5x-6)=5(4x-9)+13

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Solution for 8x+2(5x-6)=5(4x-9)+13 equation:


Simplifying
8x + 2(5x + -6) = 5(4x + -9) + 13

Reorder the terms:
8x + 2(-6 + 5x) = 5(4x + -9) + 13
8x + (-6 * 2 + 5x * 2) = 5(4x + -9) + 13
8x + (-12 + 10x) = 5(4x + -9) + 13

Reorder the terms:
-12 + 8x + 10x = 5(4x + -9) + 13

Combine like terms: 8x + 10x = 18x
-12 + 18x = 5(4x + -9) + 13

Reorder the terms:
-12 + 18x = 5(-9 + 4x) + 13
-12 + 18x = (-9 * 5 + 4x * 5) + 13
-12 + 18x = (-45 + 20x) + 13

Reorder the terms:
-12 + 18x = -45 + 13 + 20x

Combine like terms: -45 + 13 = -32
-12 + 18x = -32 + 20x

Solving
-12 + 18x = -32 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-12 + 18x + -20x = -32 + 20x + -20x

Combine like terms: 18x + -20x = -2x
-12 + -2x = -32 + 20x + -20x

Combine like terms: 20x + -20x = 0
-12 + -2x = -32 + 0
-12 + -2x = -32

Add '12' to each side of the equation.
-12 + 12 + -2x = -32 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -32 + 12
-2x = -32 + 12

Combine like terms: -32 + 12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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