2(3x-2)=7(x-5)+3

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Solution for 2(3x-2)=7(x-5)+3 equation:


Simplifying
2(3x + -2) = 7(x + -5) + 3

Reorder the terms:
2(-2 + 3x) = 7(x + -5) + 3
(-2 * 2 + 3x * 2) = 7(x + -5) + 3
(-4 + 6x) = 7(x + -5) + 3

Reorder the terms:
-4 + 6x = 7(-5 + x) + 3
-4 + 6x = (-5 * 7 + x * 7) + 3
-4 + 6x = (-35 + 7x) + 3

Reorder the terms:
-4 + 6x = -35 + 3 + 7x

Combine like terms: -35 + 3 = -32
-4 + 6x = -32 + 7x

Solving
-4 + 6x = -32 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 6x + -7x = -32 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-4 + -1x = -32 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -1x = -32 + 0
-4 + -1x = -32

Add '4' to each side of the equation.
-4 + 4 + -1x = -32 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -32 + 4
-1x = -32 + 4

Combine like terms: -32 + 4 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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