5(x-2)=7x-13

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Solution for 5(x-2)=7x-13 equation:


Simplifying
5(x + -2) = 7x + -13

Reorder the terms:
5(-2 + x) = 7x + -13
(-2 * 5 + x * 5) = 7x + -13
(-10 + 5x) = 7x + -13

Reorder the terms:
-10 + 5x = -13 + 7x

Solving
-10 + 5x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 5x + -7x = -13 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-10 + -2x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -2x = -13 + 0
-10 + -2x = -13

Add '10' to each side of the equation.
-10 + 10 + -2x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -13 + 10
-2x = -13 + 10

Combine like terms: -13 + 10 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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