9-7(x-2)=4x-13

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Solution for 9-7(x-2)=4x-13 equation:


Simplifying
9 + -7(x + -2) = 4x + -13

Reorder the terms:
9 + -7(-2 + x) = 4x + -13
9 + (-2 * -7 + x * -7) = 4x + -13
9 + (14 + -7x) = 4x + -13

Combine like terms: 9 + 14 = 23
23 + -7x = 4x + -13

Reorder the terms:
23 + -7x = -13 + 4x

Solving
23 + -7x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + -7x + -4x = -13 + 4x + -4x

Combine like terms: -7x + -4x = -11x
23 + -11x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + -11x = -13 + 0
23 + -11x = -13

Add '-23' to each side of the equation.
23 + -23 + -11x = -13 + -23

Combine like terms: 23 + -23 = 0
0 + -11x = -13 + -23
-11x = -13 + -23

Combine like terms: -13 + -23 = -36
-11x = -36

Divide each side by '-11'.
x = 3.272727273

Simplifying
x = 3.272727273

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