x-70=10(2x+3)-24

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Solution for x-70=10(2x+3)-24 equation:


Simplifying
x + -70 = 10(2x + 3) + -24

Reorder the terms:
-70 + x = 10(2x + 3) + -24

Reorder the terms:
-70 + x = 10(3 + 2x) + -24
-70 + x = (3 * 10 + 2x * 10) + -24
-70 + x = (30 + 20x) + -24

Reorder the terms:
-70 + x = 30 + -24 + 20x

Combine like terms: 30 + -24 = 6
-70 + x = 6 + 20x

Solving
-70 + x = 6 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-70 + x + -20x = 6 + 20x + -20x

Combine like terms: x + -20x = -19x
-70 + -19x = 6 + 20x + -20x

Combine like terms: 20x + -20x = 0
-70 + -19x = 6 + 0
-70 + -19x = 6

Add '70' to each side of the equation.
-70 + 70 + -19x = 6 + 70

Combine like terms: -70 + 70 = 0
0 + -19x = 6 + 70
-19x = 6 + 70

Combine like terms: 6 + 70 = 76
-19x = 76

Divide each side by '-19'.
x = -4

Simplifying
x = -4

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