4(x-7)+3=2x-9

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Solution for 4(x-7)+3=2x-9 equation:


Simplifying
4(x + -7) + 3 = 2x + -9

Reorder the terms:
4(-7 + x) + 3 = 2x + -9
(-7 * 4 + x * 4) + 3 = 2x + -9
(-28 + 4x) + 3 = 2x + -9

Reorder the terms:
-28 + 3 + 4x = 2x + -9

Combine like terms: -28 + 3 = -25
-25 + 4x = 2x + -9

Reorder the terms:
-25 + 4x = -9 + 2x

Solving
-25 + 4x = -9 + 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.
-25 + 4x + -2x = -9 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-25 + 2x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 2x = -9 + 0
-25 + 2x = -9

Add '25' to each side of the equation.
-25 + 25 + 2x = -9 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = -9 + 25
2x = -9 + 25

Combine like terms: -9 + 25 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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