5(2x-1)-2(1+4x)=7

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Solution for 5(2x-1)-2(1+4x)=7 equation:


Simplifying
5(2x + -1) + -2(1 + 4x) = 7

Reorder the terms:
5(-1 + 2x) + -2(1 + 4x) = 7
(-1 * 5 + 2x * 5) + -2(1 + 4x) = 7
(-5 + 10x) + -2(1 + 4x) = 7
-5 + 10x + (1 * -2 + 4x * -2) = 7
-5 + 10x + (-2 + -8x) = 7

Reorder the terms:
-5 + -2 + 10x + -8x = 7

Combine like terms: -5 + -2 = -7
-7 + 10x + -8x = 7

Combine like terms: 10x + -8x = 2x
-7 + 2x = 7

Solving
-7 + 2x = 7

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 + 2x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 7 + 7
2x = 7 + 7

Combine like terms: 7 + 7 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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