7(2x+1)+3(4x-3)=30

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Solution for 7(2x+1)+3(4x-3)=30 equation:


Simplifying
7(2x + 1) + 3(4x + -3) = 30

Reorder the terms:
7(1 + 2x) + 3(4x + -3) = 30
(1 * 7 + 2x * 7) + 3(4x + -3) = 30
(7 + 14x) + 3(4x + -3) = 30

Reorder the terms:
7 + 14x + 3(-3 + 4x) = 30
7 + 14x + (-3 * 3 + 4x * 3) = 30
7 + 14x + (-9 + 12x) = 30

Reorder the terms:
7 + -9 + 14x + 12x = 30

Combine like terms: 7 + -9 = -2
-2 + 14x + 12x = 30

Combine like terms: 14x + 12x = 26x
-2 + 26x = 30

Solving
-2 + 26x = 30

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 26x = 30 + 2

Combine like terms: -2 + 2 = 0
0 + 26x = 30 + 2
26x = 30 + 2

Combine like terms: 30 + 2 = 32
26x = 32

Divide each side by '26'.
x = 1.230769231

Simplifying
x = 1.230769231

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