3(x-5)+7=10(2+2)-26

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Solution for 3(x-5)+7=10(2+2)-26 equation: 


Simplifying
3(x + -5) + 7 = 10(2 + 2) + -26

Reorder the terms:
3(-5 + x) + 7 = 10(2 + 2) + -26
(-5 * 3 + x * 3) + 7 = 10(2 + 2) + -26
(-15 + 3x) + 7 = 10(2 + 2) + -26

Reorder the terms:
-15 + 7 + 3x = 10(2 + 2) + -26

Combine like terms: -15 + 7 = -8
-8 + 3x = 10(2 + 2) + -26

Combine like terms: 2 + 2 = 4
-8 + 3x = 10(4) + -26

Multiply 10 * 4
-8 + 3x = 40 + -26

Combine like terms: 40 + -26 = 14
-8 + 3x = 14

Solving
-8 + 3x = 14

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 14 + 8
3x = 14 + 8

Combine like terms: 14 + 8 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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