10(7x-3(2x+5))-5(x+1)=45

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Solution for 10(7x-3(2x+5))-5(x+1)=45 equation:


Simplifying
10(7x + -3(2x + 5)) + -5(x + 1) = 45

Reorder the terms:
10(7x + -3(5 + 2x)) + -5(x + 1) = 45
10(7x + (5 * -3 + 2x * -3)) + -5(x + 1) = 45
10(7x + (-15 + -6x)) + -5(x + 1) = 45

Reorder the terms:
10(-15 + 7x + -6x) + -5(x + 1) = 45

Combine like terms: 7x + -6x = 1x
10(-15 + 1x) + -5(x + 1) = 45
(-15 * 10 + 1x * 10) + -5(x + 1) = 45
(-150 + 10x) + -5(x + 1) = 45

Reorder the terms:
-150 + 10x + -5(1 + x) = 45
-150 + 10x + (1 * -5 + x * -5) = 45
-150 + 10x + (-5 + -5x) = 45

Reorder the terms:
-150 + -5 + 10x + -5x = 45

Combine like terms: -150 + -5 = -155
-155 + 10x + -5x = 45

Combine like terms: 10x + -5x = 5x
-155 + 5x = 45

Solving
-155 + 5x = 45

Solving for variable 'x'.

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

Add '155' to each side of the equation.
-155 + 155 + 5x = 45 + 155

Combine like terms: -155 + 155 = 0
0 + 5x = 45 + 155
5x = 45 + 155

Combine like terms: 45 + 155 = 200
5x = 200

Divide each side by '5'.
x = 40

Simplifying
x = 40

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