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

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


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

Reorder the terms:
4(-3 + 4x) + -6 = 4x + 2(3x + -6)
(-3 * 4 + 4x * 4) + -6 = 4x + 2(3x + -6)
(-12 + 16x) + -6 = 4x + 2(3x + -6)

Reorder the terms:
-12 + -6 + 16x = 4x + 2(3x + -6)

Combine like terms: -12 + -6 = -18
-18 + 16x = 4x + 2(3x + -6)

Reorder the terms:
-18 + 16x = 4x + 2(-6 + 3x)
-18 + 16x = 4x + (-6 * 2 + 3x * 2)
-18 + 16x = 4x + (-12 + 6x)

Reorder the terms:
-18 + 16x = -12 + 4x + 6x

Combine like terms: 4x + 6x = 10x
-18 + 16x = -12 + 10x

Solving
-18 + 16x = -12 + 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.
-18 + 16x + -10x = -12 + 10x + -10x

Combine like terms: 16x + -10x = 6x
-18 + 6x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + 6x = -12 + 0
-18 + 6x = -12

Add '18' to each side of the equation.
-18 + 18 + 6x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -12 + 18
6x = -12 + 18

Combine like terms: -12 + 18 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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