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

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


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

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

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

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

Combine like terms: 4x + 3x = 7x
2 + 7x = 6(x + -1) + 3

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

Reorder the terms:
2 + 7x = -6 + 3 + 6x

Combine like terms: -6 + 3 = -3
2 + 7x = -3 + 6x

Solving
2 + 7x = -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.
2 + 7x + -6x = -3 + 6x + -6x

Combine like terms: 7x + -6x = 1x
2 + 1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 1x = -3 + 0
2 + 1x = -3

Add '-2' to each side of the equation.
2 + -2 + 1x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -3 + -2
1x = -3 + -2

Combine like terms: -3 + -2 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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