-4(x-7)+3(x+9)=5x

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Solution for -4(x-7)+3(x+9)=5x equation:


Simplifying
-4(x + -7) + 3(x + 9) = 5x

Reorder the terms:
-4(-7 + x) + 3(x + 9) = 5x
(-7 * -4 + x * -4) + 3(x + 9) = 5x
(28 + -4x) + 3(x + 9) = 5x

Reorder the terms:
28 + -4x + 3(9 + x) = 5x
28 + -4x + (9 * 3 + x * 3) = 5x
28 + -4x + (27 + 3x) = 5x

Reorder the terms:
28 + 27 + -4x + 3x = 5x

Combine like terms: 28 + 27 = 55
55 + -4x + 3x = 5x

Combine like terms: -4x + 3x = -1x
55 + -1x = 5x

Solving
55 + -1x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
55 + -1x + -5x = 5x + -5x

Combine like terms: -1x + -5x = -6x
55 + -6x = 5x + -5x

Combine like terms: 5x + -5x = 0
55 + -6x = 0

Add '-55' to each side of the equation.
55 + -55 + -6x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -6x = 0 + -55
-6x = 0 + -55

Combine like terms: 0 + -55 = -55
-6x = -55

Divide each side by '-6'.
x = 9.166666667

Simplifying
x = 9.166666667

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