2(x-3)-5(x-7)=0

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Solution for 2(x-3)-5(x-7)=0 equation:


Simplifying
2(x + -3) + -5(x + -7) = 0

Reorder the terms:
2(-3 + x) + -5(x + -7) = 0
(-3 * 2 + x * 2) + -5(x + -7) = 0
(-6 + 2x) + -5(x + -7) = 0

Reorder the terms:
-6 + 2x + -5(-7 + x) = 0
-6 + 2x + (-7 * -5 + x * -5) = 0
-6 + 2x + (35 + -5x) = 0

Reorder the terms:
-6 + 35 + 2x + -5x = 0

Combine like terms: -6 + 35 = 29
29 + 2x + -5x = 0

Combine like terms: 2x + -5x = -3x
29 + -3x = 0

Solving
29 + -3x = 0

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -3x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 0 + -29
-3x = 0 + -29

Combine like terms: 0 + -29 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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