4(x-7)=3(2x+1)-5

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Solution for 4(x-7)=3(2x+1)-5 equation: 


Simplifying
4(x + -7) = 3(2x + 1) + -5

Reorder the terms:
4(-7 + x) = 3(2x + 1) + -5
(-7 * 4 + x * 4) = 3(2x + 1) + -5
(-28 + 4x) = 3(2x + 1) + -5

Reorder the terms:
-28 + 4x = 3(1 + 2x) + -5
-28 + 4x = (1 * 3 + 2x * 3) + -5
-28 + 4x = (3 + 6x) + -5

Reorder the terms:
-28 + 4x = 3 + -5 + 6x

Combine like terms: 3 + -5 = -2
-28 + 4x = -2 + 6x

Solving
-28 + 4x = -2 + 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 = -2 + 6x + -6x

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

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

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

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

Combine like terms: -2 + 28 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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