4(x-4)=7x-5

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


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

Reorder the terms:
4(-4 + x) = 7x + -5
(-4 * 4 + x * 4) = 7x + -5
(-16 + 4x) = 7x + -5

Reorder the terms:
-16 + 4x = -5 + 7x

Solving
-16 + 4x = -5 + 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.
-16 + 4x + -7x = -5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-16 + -3x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + -3x = -5 + 0
-16 + -3x = -5

Add '16' to each side of the equation.
-16 + 16 + -3x = -5 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -5 + 16
-3x = -5 + 16

Combine like terms: -5 + 16 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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