7-5(1-2x)=3(2x+1)

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Solution for 7-5(1-2x)=3(2x+1) equation: 


Simplifying
7 + -5(1 + -2x) = 3(2x + 1)
7 + (1 * -5 + -2x * -5) = 3(2x + 1)
7 + (-5 + 10x) = 3(2x + 1)

Combine like terms: 7 + -5 = 2
2 + 10x = 3(2x + 1)

Reorder the terms:
2 + 10x = 3(1 + 2x)
2 + 10x = (1 * 3 + 2x * 3)
2 + 10x = (3 + 6x)

Solving
2 + 10x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 10x + -6x = 3 + 6x + -6x

Combine like terms: 10x + -6x = 4x
2 + 4x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 4x = 3 + 0
2 + 4x = 3

Add '-2' to each side of the equation.
2 + -2 + 4x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 3 + -2
4x = 3 + -2

Combine like terms: 3 + -2 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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