7(4x-1)+2(x-3)=0

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Solution for 7(4x-1)+2(x-3)=0 equation:


Simplifying
7(4x + -1) + 2(x + -3) = 0

Reorder the terms:
7(-1 + 4x) + 2(x + -3) = 0
(-1 * 7 + 4x * 7) + 2(x + -3) = 0
(-7 + 28x) + 2(x + -3) = 0

Reorder the terms:
-7 + 28x + 2(-3 + x) = 0
-7 + 28x + (-3 * 2 + x * 2) = 0
-7 + 28x + (-6 + 2x) = 0

Reorder the terms:
-7 + -6 + 28x + 2x = 0

Combine like terms: -7 + -6 = -13
-13 + 28x + 2x = 0

Combine like terms: 28x + 2x = 30x
-13 + 30x = 0

Solving
-13 + 30x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 30x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 30x = 0 + 13
30x = 0 + 13

Combine like terms: 0 + 13 = 13
30x = 13

Divide each side by '30'.
x = 0.4333333333

Simplifying
x = 0.4333333333

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