x-70=7(2x+3)-13

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Solution for x-70=7(2x+3)-13 equation:


Simplifying
x + -70 = 7(2x + 3) + -13

Reorder the terms:
-70 + x = 7(2x + 3) + -13

Reorder the terms:
-70 + x = 7(3 + 2x) + -13
-70 + x = (3 * 7 + 2x * 7) + -13
-70 + x = (21 + 14x) + -13

Reorder the terms:
-70 + x = 21 + -13 + 14x

Combine like terms: 21 + -13 = 8
-70 + x = 8 + 14x

Solving
-70 + x = 8 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-70 + x + -14x = 8 + 14x + -14x

Combine like terms: x + -14x = -13x
-70 + -13x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
-70 + -13x = 8 + 0
-70 + -13x = 8

Add '70' to each side of the equation.
-70 + 70 + -13x = 8 + 70

Combine like terms: -70 + 70 = 0
0 + -13x = 8 + 70
-13x = 8 + 70

Combine like terms: 8 + 70 = 78
-13x = 78

Divide each side by '-13'.
x = -6

Simplifying
x = -6

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