2(x-5)+8(x-7)=4

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Solution for 2(x-5)+8(x-7)=4 equation: 


Simplifying
2(x + -5) + 8(x + -7) = 4

Reorder the terms:
2(-5 + x) + 8(x + -7) = 4
(-5 * 2 + x * 2) + 8(x + -7) = 4
(-10 + 2x) + 8(x + -7) = 4

Reorder the terms:
-10 + 2x + 8(-7 + x) = 4
-10 + 2x + (-7 * 8 + x * 8) = 4
-10 + 2x + (-56 + 8x) = 4

Reorder the terms:
-10 + -56 + 2x + 8x = 4

Combine like terms: -10 + -56 = -66
-66 + 2x + 8x = 4

Combine like terms: 2x + 8x = 10x
-66 + 10x = 4

Solving
-66 + 10x = 4

Solving for variable 'x'.

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

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

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

Combine like terms: 4 + 66 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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