9-4(2x-5)=x-7

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Solution for 9-4(2x-5)=x-7 equation:


Simplifying
9 + -4(2x + -5) = x + -7

Reorder the terms:
9 + -4(-5 + 2x) = x + -7
9 + (-5 * -4 + 2x * -4) = x + -7
9 + (20 + -8x) = x + -7

Combine like terms: 9 + 20 = 29
29 + -8x = x + -7

Reorder the terms:
29 + -8x = -7 + x

Solving
29 + -8x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
29 + -8x + -1x = -7 + x + -1x

Combine like terms: -8x + -1x = -9x
29 + -9x = -7 + x + -1x

Combine like terms: x + -1x = 0
29 + -9x = -7 + 0
29 + -9x = -7

Add '-29' to each side of the equation.
29 + -29 + -9x = -7 + -29

Combine like terms: 29 + -29 = 0
0 + -9x = -7 + -29
-9x = -7 + -29

Combine like terms: -7 + -29 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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