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

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


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

Reorder the terms:
3x + 4(-3 + 2x) = x + 1
3x + (-3 * 4 + 2x * 4) = x + 1
3x + (-12 + 8x) = x + 1

Reorder the terms:
-12 + 3x + 8x = x + 1

Combine like terms: 3x + 8x = 11x
-12 + 11x = x + 1

Reorder the terms:
-12 + 11x = 1 + x

Solving
-12 + 11x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 11x + -1x = 1 + x + -1x

Combine like terms: 11x + -1x = 10x
-12 + 10x = 1 + x + -1x

Combine like terms: x + -1x = 0
-12 + 10x = 1 + 0
-12 + 10x = 1

Add '12' to each side of the equation.
-12 + 12 + 10x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 1 + 12
10x = 1 + 12

Combine like terms: 1 + 12 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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