6(x-7)-2(x-4)=13

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Solution for 6(x-7)-2(x-4)=13 equation:


Simplifying
6(x + -7) + -2(x + -4) = 13

Reorder the terms:
6(-7 + x) + -2(x + -4) = 13
(-7 * 6 + x * 6) + -2(x + -4) = 13
(-42 + 6x) + -2(x + -4) = 13

Reorder the terms:
-42 + 6x + -2(-4 + x) = 13
-42 + 6x + (-4 * -2 + x * -2) = 13
-42 + 6x + (8 + -2x) = 13

Reorder the terms:
-42 + 8 + 6x + -2x = 13

Combine like terms: -42 + 8 = -34
-34 + 6x + -2x = 13

Combine like terms: 6x + -2x = 4x
-34 + 4x = 13

Solving
-34 + 4x = 13

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 4x = 13 + 34

Combine like terms: -34 + 34 = 0
0 + 4x = 13 + 34
4x = 13 + 34

Combine like terms: 13 + 34 = 47
4x = 47

Divide each side by '4'.
x = 11.75

Simplifying
x = 11.75

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