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

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


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

Reorder the terms:
3(-5 + 2x) + x = 4(x + 7) + -4
(-5 * 3 + 2x * 3) + x = 4(x + 7) + -4
(-15 + 6x) + x = 4(x + 7) + -4

Combine like terms: 6x + x = 7x
-15 + 7x = 4(x + 7) + -4

Reorder the terms:
-15 + 7x = 4(7 + x) + -4
-15 + 7x = (7 * 4 + x * 4) + -4
-15 + 7x = (28 + 4x) + -4

Reorder the terms:
-15 + 7x = 28 + -4 + 4x

Combine like terms: 28 + -4 = 24
-15 + 7x = 24 + 4x

Solving
-15 + 7x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 7x + -4x = 24 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-15 + 3x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 3x = 24 + 0
-15 + 3x = 24

Add '15' to each side of the equation.
-15 + 15 + 3x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 24 + 15
3x = 24 + 15

Combine like terms: 24 + 15 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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