2(x-4)+6(3-x)=7

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Solution for 2(x-4)+6(3-x)=7 equation: 


Simplifying
2(x + -4) + 6(3 + -1x) = 7

Reorder the terms:
2(-4 + x) + 6(3 + -1x) = 7
(-4 * 2 + x * 2) + 6(3 + -1x) = 7
(-8 + 2x) + 6(3 + -1x) = 7
-8 + 2x + (3 * 6 + -1x * 6) = 7
-8 + 2x + (18 + -6x) = 7

Reorder the terms:
-8 + 18 + 2x + -6x = 7

Combine like terms: -8 + 18 = 10
10 + 2x + -6x = 7

Combine like terms: 2x + -6x = -4x
10 + -4x = 7

Solving
10 + -4x = 7

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -4x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 7 + -10
-4x = 7 + -10

Combine like terms: 7 + -10 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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