2(x-7)-4(x-20)=2x+10

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Solution for 2(x-7)-4(x-20)=2x+10 equation: 


Simplifying
2(x + -7) + -4(x + -20) = 2x + 10

Reorder the terms:
2(-7 + x) + -4(x + -20) = 2x + 10
(-7 * 2 + x * 2) + -4(x + -20) = 2x + 10
(-14 + 2x) + -4(x + -20) = 2x + 10

Reorder the terms:
-14 + 2x + -4(-20 + x) = 2x + 10
-14 + 2x + (-20 * -4 + x * -4) = 2x + 10
-14 + 2x + (80 + -4x) = 2x + 10

Reorder the terms:
-14 + 80 + 2x + -4x = 2x + 10

Combine like terms: -14 + 80 = 66
66 + 2x + -4x = 2x + 10

Combine like terms: 2x + -4x = -2x
66 + -2x = 2x + 10

Reorder the terms:
66 + -2x = 10 + 2x

Solving
66 + -2x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
66 + -2x + -2x = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
66 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
66 + -4x = 10 + 0
66 + -4x = 10

Add '-66' to each side of the equation.
66 + -66 + -4x = 10 + -66

Combine like terms: 66 + -66 = 0
0 + -4x = 10 + -66
-4x = 10 + -66

Combine like terms: 10 + -66 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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