2(2x-10)+4(x-7)=12

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Solution for 2(2x-10)+4(x-7)=12 equation:


Simplifying
2(2x + -10) + 4(x + -7) = 12

Reorder the terms:
2(-10 + 2x) + 4(x + -7) = 12
(-10 * 2 + 2x * 2) + 4(x + -7) = 12
(-20 + 4x) + 4(x + -7) = 12

Reorder the terms:
-20 + 4x + 4(-7 + x) = 12
-20 + 4x + (-7 * 4 + x * 4) = 12
-20 + 4x + (-28 + 4x) = 12

Reorder the terms:
-20 + -28 + 4x + 4x = 12

Combine like terms: -20 + -28 = -48
-48 + 4x + 4x = 12

Combine like terms: 4x + 4x = 8x
-48 + 8x = 12

Solving
-48 + 8x = 12

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 8x = 12 + 48

Combine like terms: -48 + 48 = 0
0 + 8x = 12 + 48
8x = 12 + 48

Combine like terms: 12 + 48 = 60
8x = 60

Divide each side by '8'.
x = 7.5

Simplifying
x = 7.5

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