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

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


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

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

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

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

Remove parenthesis around (-3 + 4x)
1 + -6x = 6x + -3 + 4x

Reorder the terms:
1 + -6x = -3 + 6x + 4x

Combine like terms: 6x + 4x = 10x
1 + -6x = -3 + 10x

Solving
1 + -6x = -3 + 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.
1 + -6x + -10x = -3 + 10x + -10x

Combine like terms: -6x + -10x = -16x
1 + -16x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -16x = -3 + 0
1 + -16x = -3

Add '-1' to each side of the equation.
1 + -1 + -16x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -16x = -3 + -1
-16x = -3 + -1

Combine like terms: -3 + -1 = -4
-16x = -4

Divide each side by '-16'.
x = 0.25

Simplifying
x = 0.25

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