3(2x-1)+4(2x-1)=38

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Solution for 3(2x-1)+4(2x-1)=38 equation: 


Simplifying
3(2x + -1) + 4(2x + -1) = 38

Reorder the terms:
3(-1 + 2x) + 4(2x + -1) = 38
(-1 * 3 + 2x * 3) + 4(2x + -1) = 38
(-3 + 6x) + 4(2x + -1) = 38

Reorder the terms:
-3 + 6x + 4(-1 + 2x) = 38
-3 + 6x + (-1 * 4 + 2x * 4) = 38
-3 + 6x + (-4 + 8x) = 38

Reorder the terms:
-3 + -4 + 6x + 8x = 38

Combine like terms: -3 + -4 = -7
-7 + 6x + 8x = 38

Combine like terms: 6x + 8x = 14x
-7 + 14x = 38

Solving
-7 + 14x = 38

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 14x = 38 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = 38 + 7
14x = 38 + 7

Combine like terms: 38 + 7 = 45
14x = 45

Divide each side by '14'.
x = 3.214285714

Simplifying
x = 3.214285714

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