5x+2(x-6)=4(x+1)-3

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Solution for 5x+2(x-6)=4(x+1)-3 equation: 


Simplifying
5x + 2(x + -6) = 4(x + 1) + -3

Reorder the terms:
5x + 2(-6 + x) = 4(x + 1) + -3
5x + (-6 * 2 + x * 2) = 4(x + 1) + -3
5x + (-12 + 2x) = 4(x + 1) + -3

Reorder the terms:
-12 + 5x + 2x = 4(x + 1) + -3

Combine like terms: 5x + 2x = 7x
-12 + 7x = 4(x + 1) + -3

Reorder the terms:
-12 + 7x = 4(1 + x) + -3
-12 + 7x = (1 * 4 + x * 4) + -3
-12 + 7x = (4 + 4x) + -3

Reorder the terms:
-12 + 7x = 4 + -3 + 4x

Combine like terms: 4 + -3 = 1
-12 + 7x = 1 + 4x

Solving
-12 + 7x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 7x + -4x = 1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-12 + 3x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 3x = 1 + 0
-12 + 3x = 1

Add '12' to each side of the equation.
-12 + 12 + 3x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 1 + 12
3x = 1 + 12

Combine like terms: 1 + 12 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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