4(x-7)=3(2x-5)-16

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Solution for 4(x-7)=3(2x-5)-16 equation: 


Simplifying
4(x + -7) = 3(2x + -5) + -16

Reorder the terms:
4(-7 + x) = 3(2x + -5) + -16
(-7 * 4 + x * 4) = 3(2x + -5) + -16
(-28 + 4x) = 3(2x + -5) + -16

Reorder the terms:
-28 + 4x = 3(-5 + 2x) + -16
-28 + 4x = (-5 * 3 + 2x * 3) + -16
-28 + 4x = (-15 + 6x) + -16

Reorder the terms:
-28 + 4x = -15 + -16 + 6x

Combine like terms: -15 + -16 = -31
-28 + 4x = -31 + 6x

Solving
-28 + 4x = -31 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-28 + 4x + -6x = -31 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-28 + -2x = -31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-28 + -2x = -31 + 0
-28 + -2x = -31

Add '28' to each side of the equation.
-28 + 28 + -2x = -31 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = -31 + 28
-2x = -31 + 28

Combine like terms: -31 + 28 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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