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

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


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

Reorder the terms:
2(-7 + x) + 3x + -2 = x + 4
(-7 * 2 + x * 2) + 3x + -2 = x + 4
(-14 + 2x) + 3x + -2 = x + 4

Reorder the terms:
-14 + -2 + 2x + 3x = x + 4

Combine like terms: -14 + -2 = -16
-16 + 2x + 3x = x + 4

Combine like terms: 2x + 3x = 5x
-16 + 5x = x + 4

Reorder the terms:
-16 + 5x = 4 + x

Solving
-16 + 5x = 4 + 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.
-16 + 5x + -1x = 4 + x + -1x

Combine like terms: 5x + -1x = 4x
-16 + 4x = 4 + x + -1x

Combine like terms: x + -1x = 0
-16 + 4x = 4 + 0
-16 + 4x = 4

Add '16' to each side of the equation.
-16 + 16 + 4x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 4 + 16
4x = 4 + 16

Combine like terms: 4 + 16 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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