7(2x-1)=10-5(2x+1)

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Solution for 7(2x-1)=10-5(2x+1) equation:


Simplifying
7(2x + -1) = 10 + -5(2x + 1)

Reorder the terms:
7(-1 + 2x) = 10 + -5(2x + 1)
(-1 * 7 + 2x * 7) = 10 + -5(2x + 1)
(-7 + 14x) = 10 + -5(2x + 1)

Reorder the terms:
-7 + 14x = 10 + -5(1 + 2x)
-7 + 14x = 10 + (1 * -5 + 2x * -5)
-7 + 14x = 10 + (-5 + -10x)

Combine like terms: 10 + -5 = 5
-7 + 14x = 5 + -10x

Solving
-7 + 14x = 5 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-7 + 14x + 10x = 5 + -10x + 10x

Combine like terms: 14x + 10x = 24x
-7 + 24x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
-7 + 24x = 5 + 0
-7 + 24x = 5

Add '7' to each side of the equation.
-7 + 7 + 24x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 24x = 5 + 7
24x = 5 + 7

Combine like terms: 5 + 7 = 12
24x = 12

Divide each side by '24'.
x = 0.5

Simplifying
x = 0.5

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