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

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Solution for 6+4(4x-6)=7-3(2x+1) equation:


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

Reorder the terms:
6 + 4(-6 + 4x) = 7 + -3(2x + 1)
6 + (-6 * 4 + 4x * 4) = 7 + -3(2x + 1)
6 + (-24 + 16x) = 7 + -3(2x + 1)

Combine like terms: 6 + -24 = -18
-18 + 16x = 7 + -3(2x + 1)

Reorder the terms:
-18 + 16x = 7 + -3(1 + 2x)
-18 + 16x = 7 + (1 * -3 + 2x * -3)
-18 + 16x = 7 + (-3 + -6x)

Combine like terms: 7 + -3 = 4
-18 + 16x = 4 + -6x

Solving
-18 + 16x = 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.
-18 + 16x + 6x = 4 + -6x + 6x

Combine like terms: 16x + 6x = 22x
-18 + 22x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 22x = 4 + 0
-18 + 22x = 4

Add '18' to each side of the equation.
-18 + 18 + 22x = 4 + 18

Combine like terms: -18 + 18 = 0
0 + 22x = 4 + 18
22x = 4 + 18

Combine like terms: 4 + 18 = 22
22x = 22

Divide each side by '22'.
x = 1

Simplifying
x = 1

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