6+4(x-2)=2(-3x+4)+5

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Solution for 6+4(x-2)=2(-3x+4)+5 equation:


Simplifying
6 + 4(x + -2) = 2(-3x + 4) + 5

Reorder the terms:
6 + 4(-2 + x) = 2(-3x + 4) + 5
6 + (-2 * 4 + x * 4) = 2(-3x + 4) + 5
6 + (-8 + 4x) = 2(-3x + 4) + 5

Combine like terms: 6 + -8 = -2
-2 + 4x = 2(-3x + 4) + 5

Reorder the terms:
-2 + 4x = 2(4 + -3x) + 5
-2 + 4x = (4 * 2 + -3x * 2) + 5
-2 + 4x = (8 + -6x) + 5

Reorder the terms:
-2 + 4x = 8 + 5 + -6x

Combine like terms: 8 + 5 = 13
-2 + 4x = 13 + -6x

Solving
-2 + 4x = 13 + -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 + 4x + 6x = 13 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-2 + 10x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 10x = 13 + 0
-2 + 10x = 13

Add '2' to each side of the equation.
-2 + 2 + 10x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 13 + 2
10x = 13 + 2

Combine like terms: 13 + 2 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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