7(x-2)-4(5-x)=1

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Solution for 7(x-2)-4(5-x)=1 equation:


Simplifying
7(x + -2) + -4(5 + -1x) = 1

Reorder the terms:
7(-2 + x) + -4(5 + -1x) = 1
(-2 * 7 + x * 7) + -4(5 + -1x) = 1
(-14 + 7x) + -4(5 + -1x) = 1
-14 + 7x + (5 * -4 + -1x * -4) = 1
-14 + 7x + (-20 + 4x) = 1

Reorder the terms:
-14 + -20 + 7x + 4x = 1

Combine like terms: -14 + -20 = -34
-34 + 7x + 4x = 1

Combine like terms: 7x + 4x = 11x
-34 + 11x = 1

Solving
-34 + 11x = 1

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 + 11x = 1 + 34

Combine like terms: -34 + 34 = 0
0 + 11x = 1 + 34
11x = 1 + 34

Combine like terms: 1 + 34 = 35
11x = 35

Divide each side by '11'.
x = 3.181818182

Simplifying
x = 3.181818182

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