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

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


Simplifying
5(x + -4) + -1(2x + -7) = 0

Reorder the terms:
5(-4 + x) + -1(2x + -7) = 0
(-4 * 5 + x * 5) + -1(2x + -7) = 0
(-20 + 5x) + -1(2x + -7) = 0

Reorder the terms:
-20 + 5x + -1(-7 + 2x) = 0
-20 + 5x + (-7 * -1 + 2x * -1) = 0
-20 + 5x + (7 + -2x) = 0

Reorder the terms:
-20 + 7 + 5x + -2x = 0

Combine like terms: -20 + 7 = -13
-13 + 5x + -2x = 0

Combine like terms: 5x + -2x = 3x
-13 + 3x = 0

Solving
-13 + 3x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 0 + 13
3x = 0 + 13

Combine like terms: 0 + 13 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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