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

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


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

Reorder the terms:
2(-3 + 2x) = 7 + -3(1 + 2x)
(-3 * 2 + 2x * 2) = 7 + -3(1 + 2x)
(-6 + 4x) = 7 + -3(1 + 2x)
-6 + 4x = 7 + (1 * -3 + 2x * -3)
-6 + 4x = 7 + (-3 + -6x)

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

Solving
-6 + 4x = 4 + -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.
-6 + 4x + 6x = 4 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-6 + 10x = 4 + 0
-6 + 10x = 4

Add '6' to each side of the equation.
-6 + 6 + 10x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 4 + 6
10x = 4 + 6

Combine like terms: 4 + 6 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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