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

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


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

Reorder the terms:
3(-11 + 2x) + 4 = 2(x + -4) + 3
(-11 * 3 + 2x * 3) + 4 = 2(x + -4) + 3
(-33 + 6x) + 4 = 2(x + -4) + 3

Reorder the terms:
-33 + 4 + 6x = 2(x + -4) + 3

Combine like terms: -33 + 4 = -29
-29 + 6x = 2(x + -4) + 3

Reorder the terms:
-29 + 6x = 2(-4 + x) + 3
-29 + 6x = (-4 * 2 + x * 2) + 3
-29 + 6x = (-8 + 2x) + 3

Reorder the terms:
-29 + 6x = -8 + 3 + 2x

Combine like terms: -8 + 3 = -5
-29 + 6x = -5 + 2x

Solving
-29 + 6x = -5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-29 + 6x + -2x = -5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-29 + 4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + 4x = -5 + 0
-29 + 4x = -5

Add '29' to each side of the equation.
-29 + 29 + 4x = -5 + 29

Combine like terms: -29 + 29 = 0
0 + 4x = -5 + 29
4x = -5 + 29

Combine like terms: -5 + 29 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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