2(x-4)+7x-3=5x-4+3x-2

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Solution for 2(x-4)+7x-3=5x-4+3x-2 equation:


Simplifying
2(x + -4) + 7x + -3 = 5x + -4 + 3x + -2

Reorder the terms:
2(-4 + x) + 7x + -3 = 5x + -4 + 3x + -2
(-4 * 2 + x * 2) + 7x + -3 = 5x + -4 + 3x + -2
(-8 + 2x) + 7x + -3 = 5x + -4 + 3x + -2

Reorder the terms:
-8 + -3 + 2x + 7x = 5x + -4 + 3x + -2

Combine like terms: -8 + -3 = -11
-11 + 2x + 7x = 5x + -4 + 3x + -2

Combine like terms: 2x + 7x = 9x
-11 + 9x = 5x + -4 + 3x + -2

Reorder the terms:
-11 + 9x = -4 + -2 + 5x + 3x

Combine like terms: -4 + -2 = -6
-11 + 9x = -6 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-11 + 9x = -6 + 8x

Solving
-11 + 9x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-11 + 9x + -8x = -6 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-11 + 1x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + 1x = -6 + 0
-11 + 1x = -6

Add '11' to each side of the equation.
-11 + 11 + 1x = -6 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -6 + 11
1x = -6 + 11

Combine like terms: -6 + 11 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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