2(x-4)+5(x-6)=x+4

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Solution for 2(x-4)+5(x-6)=x+4 equation:


Simplifying
2(x + -4) + 5(x + -6) = x + 4

Reorder the terms:
2(-4 + x) + 5(x + -6) = x + 4
(-4 * 2 + x * 2) + 5(x + -6) = x + 4
(-8 + 2x) + 5(x + -6) = x + 4

Reorder the terms:
-8 + 2x + 5(-6 + x) = x + 4
-8 + 2x + (-6 * 5 + x * 5) = x + 4
-8 + 2x + (-30 + 5x) = x + 4

Reorder the terms:
-8 + -30 + 2x + 5x = x + 4

Combine like terms: -8 + -30 = -38
-38 + 2x + 5x = x + 4

Combine like terms: 2x + 5x = 7x
-38 + 7x = x + 4

Reorder the terms:
-38 + 7x = 4 + x

Solving
-38 + 7x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-38 + 7x + -1x = 4 + x + -1x

Combine like terms: 7x + -1x = 6x
-38 + 6x = 4 + x + -1x

Combine like terms: x + -1x = 0
-38 + 6x = 4 + 0
-38 + 6x = 4

Add '38' to each side of the equation.
-38 + 38 + 6x = 4 + 38

Combine like terms: -38 + 38 = 0
0 + 6x = 4 + 38
6x = 4 + 38

Combine like terms: 4 + 38 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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