7(6x+5)=4(2x-5)+4x

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Solution for 7(6x+5)=4(2x-5)+4x equation: 


Simplifying
7(6x + 5) = 4(2x + -5) + 4x

Reorder the terms:
7(5 + 6x) = 4(2x + -5) + 4x
(5 * 7 + 6x * 7) = 4(2x + -5) + 4x
(35 + 42x) = 4(2x + -5) + 4x

Reorder the terms:
35 + 42x = 4(-5 + 2x) + 4x
35 + 42x = (-5 * 4 + 2x * 4) + 4x
35 + 42x = (-20 + 8x) + 4x

Combine like terms: 8x + 4x = 12x
35 + 42x = -20 + 12x

Solving
35 + 42x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
35 + 42x + -12x = -20 + 12x + -12x

Combine like terms: 42x + -12x = 30x
35 + 30x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + 30x = -20 + 0
35 + 30x = -20

Add '-35' to each side of the equation.
35 + -35 + 30x = -20 + -35

Combine like terms: 35 + -35 = 0
0 + 30x = -20 + -35
30x = -20 + -35

Combine like terms: -20 + -35 = -55
30x = -55

Divide each side by '30'.
x = -1.833333333

Simplifying
x = -1.833333333

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