.10x+.02(70)=.08(x+70)

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Solution for .10x+.02(70)=.08(x+70) equation:


Simplifying
0.10x + 0.02(70) = 0.08(x + 70)

Multiply 0.02 * 70
0.10x + 1.4 = 0.08(x + 70)

Reorder the terms:
1.4 + 0.10x = 0.08(x + 70)

Reorder the terms:
1.4 + 0.10x = 0.08(70 + x)
1.4 + 0.10x = (70 * 0.08 + x * 0.08)
1.4 + 0.10x = (5.6 + 0.08x)

Solving
1.4 + 0.10x = 5.6 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
1.4 + 0.10x + -0.08x = 5.6 + 0.08x + -0.08x

Combine like terms: 0.10x + -0.08x = 0.02x
1.4 + 0.02x = 5.6 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
1.4 + 0.02x = 5.6 + 0.00
1.4 + 0.02x = 5.6

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 0.02x = 5.6 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.02x = 5.6 + -1.4
0.02x = 5.6 + -1.4

Combine like terms: 5.6 + -1.4 = 4.2
0.02x = 4.2

Divide each side by '0.02'.
x = 210

Simplifying
x = 210

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