4x-3(x-7)=2x+15

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Solution for 4x-3(x-7)=2x+15 equation:


Simplifying
4x + -3(x + -7) = 2x + 15

Reorder the terms:
4x + -3(-7 + x) = 2x + 15
4x + (-7 * -3 + x * -3) = 2x + 15
4x + (21 + -3x) = 2x + 15

Reorder the terms:
21 + 4x + -3x = 2x + 15

Combine like terms: 4x + -3x = 1x
21 + 1x = 2x + 15

Reorder the terms:
21 + 1x = 15 + 2x

Solving
21 + 1x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + 1x + -2x = 15 + 2x + -2x

Combine like terms: 1x + -2x = -1x
21 + -1x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -1x = 15 + 0
21 + -1x = 15

Add '-21' to each side of the equation.
21 + -21 + -1x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 15 + -21
-1x = 15 + -21

Combine like terms: 15 + -21 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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