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

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


Simplifying
9(x + 5) + -1(4x + -7) = 4

Reorder the terms:
9(5 + x) + -1(4x + -7) = 4
(5 * 9 + x * 9) + -1(4x + -7) = 4
(45 + 9x) + -1(4x + -7) = 4

Reorder the terms:
45 + 9x + -1(-7 + 4x) = 4
45 + 9x + (-7 * -1 + 4x * -1) = 4
45 + 9x + (7 + -4x) = 4

Reorder the terms:
45 + 7 + 9x + -4x = 4

Combine like terms: 45 + 7 = 52
52 + 9x + -4x = 4

Combine like terms: 9x + -4x = 5x
52 + 5x = 4

Solving
52 + 5x = 4

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 5x = 4 + -52

Combine like terms: 52 + -52 = 0
0 + 5x = 4 + -52
5x = 4 + -52

Combine like terms: 4 + -52 = -48
5x = -48

Divide each side by '5'.
x = -9.6

Simplifying
x = -9.6

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