4+2(5x-4)=6-3(2x+1)

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Solution for 4+2(5x-4)=6-3(2x+1) equation:


Simplifying
4 + 2(5x + -4) = 6 + -3(2x + 1)

Reorder the terms:
4 + 2(-4 + 5x) = 6 + -3(2x + 1)
4 + (-4 * 2 + 5x * 2) = 6 + -3(2x + 1)
4 + (-8 + 10x) = 6 + -3(2x + 1)

Combine like terms: 4 + -8 = -4
-4 + 10x = 6 + -3(2x + 1)

Reorder the terms:
-4 + 10x = 6 + -3(1 + 2x)
-4 + 10x = 6 + (1 * -3 + 2x * -3)
-4 + 10x = 6 + (-3 + -6x)

Combine like terms: 6 + -3 = 3
-4 + 10x = 3 + -6x

Solving
-4 + 10x = 3 + -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.
-4 + 10x + 6x = 3 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-4 + 16x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 16x = 3 + 0
-4 + 16x = 3

Add '4' to each side of the equation.
-4 + 4 + 16x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 3 + 4
16x = 3 + 4

Combine like terms: 3 + 4 = 7
16x = 7

Divide each side by '16'.
x = 0.4375

Simplifying
x = 0.4375

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