4(7x+1)-5(5x+27)=12

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Solution for 4(7x+1)-5(5x+27)=12 equation:


Simplifying
4(7x + 1) + -5(5x + 27) = 12

Reorder the terms:
4(1 + 7x) + -5(5x + 27) = 12
(1 * 4 + 7x * 4) + -5(5x + 27) = 12
(4 + 28x) + -5(5x + 27) = 12

Reorder the terms:
4 + 28x + -5(27 + 5x) = 12
4 + 28x + (27 * -5 + 5x * -5) = 12
4 + 28x + (-135 + -25x) = 12

Reorder the terms:
4 + -135 + 28x + -25x = 12

Combine like terms: 4 + -135 = -131
-131 + 28x + -25x = 12

Combine like terms: 28x + -25x = 3x
-131 + 3x = 12

Solving
-131 + 3x = 12

Solving for variable 'x'.

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

Add '131' to each side of the equation.
-131 + 131 + 3x = 12 + 131

Combine like terms: -131 + 131 = 0
0 + 3x = 12 + 131
3x = 12 + 131

Combine like terms: 12 + 131 = 143
3x = 143

Divide each side by '3'.
x = 47.66666667

Simplifying
x = 47.66666667

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