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 = -10
-10 + 4x + -3x = 6(x + -1) + 3

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

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

Reorder the terms:
-10 + 1x = -6 + 3 + 6x

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

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

Combine like terms: 1x + -6x = -5x
-10 + -5x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -5x = -3 + 0
-10 + -5x = -3

Add '10' to each side of the equation.
-10 + 10 + -5x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = -3 + 10
-5x = -3 + 10

Combine like terms: -3 + 10 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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