7(6x-7)+4(3x-5)-1(5x+28)=0

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Solution for 7(6x-7)+4(3x-5)-1(5x+28)=0 equation:


Simplifying
7(6x + -7) + 4(3x + -5) + -1(5x + 28) = 0

Reorder the terms:
7(-7 + 6x) + 4(3x + -5) + -1(5x + 28) = 0
(-7 * 7 + 6x * 7) + 4(3x + -5) + -1(5x + 28) = 0
(-49 + 42x) + 4(3x + -5) + -1(5x + 28) = 0

Reorder the terms:
-49 + 42x + 4(-5 + 3x) + -1(5x + 28) = 0
-49 + 42x + (-5 * 4 + 3x * 4) + -1(5x + 28) = 0
-49 + 42x + (-20 + 12x) + -1(5x + 28) = 0

Reorder the terms:
-49 + 42x + -20 + 12x + -1(28 + 5x) = 0
-49 + 42x + -20 + 12x + (28 * -1 + 5x * -1) = 0
-49 + 42x + -20 + 12x + (-28 + -5x) = 0

Reorder the terms:
-49 + -20 + -28 + 42x + 12x + -5x = 0

Combine like terms: -49 + -20 = -69
-69 + -28 + 42x + 12x + -5x = 0

Combine like terms: -69 + -28 = -97
-97 + 42x + 12x + -5x = 0

Combine like terms: 42x + 12x = 54x
-97 + 54x + -5x = 0

Combine like terms: 54x + -5x = 49x
-97 + 49x = 0

Solving
-97 + 49x = 0

Solving for variable 'x'.

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

Add '97' to each side of the equation.
-97 + 97 + 49x = 0 + 97

Combine like terms: -97 + 97 = 0
0 + 49x = 0 + 97
49x = 0 + 97

Combine like terms: 0 + 97 = 97
49x = 97

Divide each side by '49'.
x = 1.979591837

Simplifying
x = 1.979591837

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