3(2x-5)-7=4(x-9)

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Solution for 3(2x-5)-7=4(x-9) equation:


Simplifying
3(2x + -5) + -7 = 4(x + -9)

Reorder the terms:
3(-5 + 2x) + -7 = 4(x + -9)
(-5 * 3 + 2x * 3) + -7 = 4(x + -9)
(-15 + 6x) + -7 = 4(x + -9)

Reorder the terms:
-15 + -7 + 6x = 4(x + -9)

Combine like terms: -15 + -7 = -22
-22 + 6x = 4(x + -9)

Reorder the terms:
-22 + 6x = 4(-9 + x)
-22 + 6x = (-9 * 4 + x * 4)
-22 + 6x = (-36 + 4x)

Solving
-22 + 6x = -36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-22 + 6x + -4x = -36 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-22 + 2x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + 2x = -36 + 0
-22 + 2x = -36

Add '22' to each side of the equation.
-22 + 22 + 2x = -36 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -36 + 22
2x = -36 + 22

Combine like terms: -36 + 22 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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