4(x-2)+3=6x-11

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Solution for 4(x-2)+3=6x-11 equation:


Simplifying
4(x + -2) + 3 = 6x + -11

Reorder the terms:
4(-2 + x) + 3 = 6x + -11
(-2 * 4 + x * 4) + 3 = 6x + -11
(-8 + 4x) + 3 = 6x + -11

Reorder the terms:
-8 + 3 + 4x = 6x + -11

Combine like terms: -8 + 3 = -5
-5 + 4x = 6x + -11

Reorder the terms:
-5 + 4x = -11 + 6x

Solving
-5 + 4x = -11 + 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.
-5 + 4x + -6x = -11 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-5 + -2x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -2x = -11 + 0
-5 + -2x = -11

Add '5' to each side of the equation.
-5 + 5 + -2x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -11 + 5
-2x = -11 + 5

Combine like terms: -11 + 5 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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