4(2x-3)=6-(2x+7)

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Solution for 4(2x-3)=6-(2x+7) equation:


Simplifying
4(2x + -3) = 6 + -1(2x + 7)

Reorder the terms:
4(-3 + 2x) = 6 + -1(2x + 7)
(-3 * 4 + 2x * 4) = 6 + -1(2x + 7)
(-12 + 8x) = 6 + -1(2x + 7)

Reorder the terms:
-12 + 8x = 6 + -1(7 + 2x)
-12 + 8x = 6 + (7 * -1 + 2x * -1)
-12 + 8x = 6 + (-7 + -2x)

Combine like terms: 6 + -7 = -1
-12 + 8x = -1 + -2x

Solving
-12 + 8x = -1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 8x + 2x = -1 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-12 + 10x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 10x = -1 + 0
-12 + 10x = -1

Add '12' to each side of the equation.
-12 + 12 + 10x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = -1 + 12
10x = -1 + 12

Combine like terms: -1 + 12 = 11
10x = 11

Divide each side by '10'.
x = 1.1

Simplifying
x = 1.1

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