2(x-1)-7(x-2)=0

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Solution for 2(x-1)-7(x-2)=0 equation:


Simplifying
2(x + -1) + -7(x + -2) = 0

Reorder the terms:
2(-1 + x) + -7(x + -2) = 0
(-1 * 2 + x * 2) + -7(x + -2) = 0
(-2 + 2x) + -7(x + -2) = 0

Reorder the terms:
-2 + 2x + -7(-2 + x) = 0
-2 + 2x + (-2 * -7 + x * -7) = 0
-2 + 2x + (14 + -7x) = 0

Reorder the terms:
-2 + 14 + 2x + -7x = 0

Combine like terms: -2 + 14 = 12
12 + 2x + -7x = 0

Combine like terms: 2x + -7x = -5x
12 + -5x = 0

Solving
12 + -5x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 0 + -12
-5x = 0 + -12

Combine like terms: 0 + -12 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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