2(x-13)=3(4x-11)

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Solution for 2(x-13)=3(4x-11) equation:


Simplifying
2(x + -13) = 3(4x + -11)

Reorder the terms:
2(-13 + x) = 3(4x + -11)
(-13 * 2 + x * 2) = 3(4x + -11)
(-26 + 2x) = 3(4x + -11)

Reorder the terms:
-26 + 2x = 3(-11 + 4x)
-26 + 2x = (-11 * 3 + 4x * 3)
-26 + 2x = (-33 + 12x)

Solving
-26 + 2x = -33 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-26 + 2x + -12x = -33 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-26 + -10x = -33 + 12x + -12x

Combine like terms: 12x + -12x = 0
-26 + -10x = -33 + 0
-26 + -10x = -33

Add '26' to each side of the equation.
-26 + 26 + -10x = -33 + 26

Combine like terms: -26 + 26 = 0
0 + -10x = -33 + 26
-10x = -33 + 26

Combine like terms: -33 + 26 = -7
-10x = -7

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7

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