4x-7+5x=4(x-3)+55

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Solution for 4x-7+5x=4(x-3)+55 equation:


Simplifying
4x + -7 + 5x = 4(x + -3) + 55

Reorder the terms:
-7 + 4x + 5x = 4(x + -3) + 55

Combine like terms: 4x + 5x = 9x
-7 + 9x = 4(x + -3) + 55

Reorder the terms:
-7 + 9x = 4(-3 + x) + 55
-7 + 9x = (-3 * 4 + x * 4) + 55
-7 + 9x = (-12 + 4x) + 55

Reorder the terms:
-7 + 9x = -12 + 55 + 4x

Combine like terms: -12 + 55 = 43
-7 + 9x = 43 + 4x

Solving
-7 + 9x = 43 + 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.
-7 + 9x + -4x = 43 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-7 + 5x = 43 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 5x = 43 + 0
-7 + 5x = 43

Add '7' to each side of the equation.
-7 + 7 + 5x = 43 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 43 + 7
5x = 43 + 7

Combine like terms: 43 + 7 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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