2(4x-5)=10x+12

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Solution for 2(4x-5)=10x+12 equation:


Simplifying
2(4x + -5) = 10x + 12

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

Reorder the terms:
-10 + 8x = 12 + 10x

Solving
-10 + 8x = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 8x + -10x = 12 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-10 + -2x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + -2x = 12 + 0
-10 + -2x = 12

Add '10' to each side of the equation.
-10 + 10 + -2x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 12 + 10
-2x = 12 + 10

Combine like terms: 12 + 10 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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