4(x-9)=7x-4

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


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

Reorder the terms:
4(-9 + x) = 7x + -4
(-9 * 4 + x * 4) = 7x + -4
(-36 + 4x) = 7x + -4

Reorder the terms:
-36 + 4x = -4 + 7x

Solving
-36 + 4x = -4 + 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.
-36 + 4x + -7x = -4 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-36 + -3x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-36 + -3x = -4 + 0
-36 + -3x = -4

Add '36' to each side of the equation.
-36 + 36 + -3x = -4 + 36

Combine like terms: -36 + 36 = 0
0 + -3x = -4 + 36
-3x = -4 + 36

Combine like terms: -4 + 36 = 32
-3x = 32

Divide each side by '-3'.
x = -10.66666667

Simplifying
x = -10.66666667

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