5(x-4)+7=2(x-5)

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


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

Reorder the terms:
5(-4 + x) + 7 = 2(x + -5)
(-4 * 5 + x * 5) + 7 = 2(x + -5)
(-20 + 5x) + 7 = 2(x + -5)

Reorder the terms:
-20 + 7 + 5x = 2(x + -5)

Combine like terms: -20 + 7 = -13
-13 + 5x = 2(x + -5)

Reorder the terms:
-13 + 5x = 2(-5 + x)
-13 + 5x = (-5 * 2 + x * 2)
-13 + 5x = (-10 + 2x)

Solving
-13 + 5x = -10 + 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.
-13 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-13 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 3x = -10 + 0
-13 + 3x = -10

Add '13' to each side of the equation.
-13 + 13 + 3x = -10 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = -10 + 13
3x = -10 + 13

Combine like terms: -10 + 13 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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